We'll get a few facts straight here.
When 4-pin fans were introduced, they were designed with some backwards compatibility features with existing 3-pin systems. These include
(a) the female connectors all have ridges on one side just beyond Pins 1 and 3. The male connectors all have a "tongue" sticking up on one side aligned with those first 3 pins. The result is that you can only plug them together one way - the correct way to get the contacts right. BUT also you CAN plug any male into any female connector - they will fit mechanically, and the connections will be right. The exception is this: SOME male connectors are made not with exposed pins but with them inside a shroud. If it's a 3-pin male connector, that shroud may be too narrow to allow insertion of a female 4-pin connector. In cases like that, you can modify the male connector's shroud to allow proper connection.
(b) The control method for the two fan systems is different, and the electrical connections differ as a result. However, they are still similar, and they are arranged to ensure that mixing systems will work, sort of. A 3-pin fan has these connections:
Pin #1 - Ground (Black wire)
Pin #2 - +DCV varying from 12 (max) down to 5 (min) (Red wire). Under 5 VDC may cause the fan to stall and require a higher voltage to start up again.
Pin #3 - Speed Pulse Signal (2 pulses per revolution) (Yellow wire) generated in the fan motor and sent on this line back to the mobo for counting to measure speed.
Its speed is changed by varying the voltage supplied on Pin #2. This method of control is called Voltage Control Mode, or DC Mode.
A 4-pin fan gets these signals:
Pin #1 - Ground (Black wire) (SAME as above)
Pin #2 - +12VDC constant (usually Yellow wire) - DIFFERENT
Pin #3 - Speed Pulse Signal (2 pulses per revolution) (usually Green wire) generated in the fan motor and sent on this line back to the mobo for counting to measure speed - (SAME as above)
Pin #4 - PWM signal (usually Blue wire) NEW additional line
The motor has a special tiny chip inside that applies the PWM signal to the supply voltage from Pin #2 to modify the current flowing through the motor and alter its speed. This method of control is called PWM Mode.
(c) BOTH systems are designed to allow the signals on the male mobo header to power and control the speed of the fan, and to measure its speed. But if you mix systems, the results are a little different. If you plug a 3-pin fan into a 4-pin header, the fan receives a fixed 12 VDC supply on Pin #2, and no PWM signal from its non-existent Pin #4 (which it cannot use anyway, since it does not have the special chip). Thus the fan will always run full speed. This is what has produced the FALSE statements that the mobo cannot control a 3-pin fan. In truth, a mobo 4-pin header that uses only the PWM method of control cannot control the speed of a 3pin fan. The other mis-match: if you plug a 4-pin fan into a 3-pin header (such a header can ONLY use Voltage Control Mode) the fan will receive a varying voltage on Pin #2, and no PWM signal at all on Pin #4. So its chip cannot apply any modification to the voltage supply, and the fan motor's speed DOES change according to that voltage. Thus, a 3-pin header CAN control the speed of a 4-pin fan, although the method used is not what that fan was designed for and is not ideal.
(d) MANY mobos these days have only 4-pin fan headers on them, but that does NOT tell you what control method they use. Any 3-pin header can ONLY use Voltage Control Mode, although there are some that do not even do that - they supply a fixed 12 VDC on Pin #2, and these headers mainly are used to power a pump whose speed you do NOT want to slow down. On a 4-pin header. the mobo may use only the original design signals and apply the PWM Mode of control. Or, it may use only the Voltage Control Mode and not even supply any PWM signal to the fan. Note that, because of that backwards compatibility feature of the 4-pin fan design, this still means that the 4-pin fan's speed WILL be under mobo control (just not ideal). On some mobos you have an option in BIOS Setup to select whether a particular 4-pin fan header uses one Mode or the other. This option is almost always there for CPU_FAN headers, but often not for case fan headers. Some mobos claim that their 4-pin headers are "automatic' and will discover for themselves which fan type is plugged in and change their control Mode as required. However, note that this feature is easy to "fake" if the header uses only Voltage Control Mode, because BOTH fan types will appear to be under speed control.
(e) Most common fans for computer cases now consume at max 0.1 to 0.3 amps at full speed, although ones with LED's in them often consume 0.4 to 0.5 amps. Most mobo fan headers are limited to supplying a max of 1.0 amps total to whatever is connected. (There are some newer mobos that have a few headers able to supply up to 3.0 amps.) So, it IS permissible to connect more than one fan to a single header as long as you do not exceed its limit.
(f) A SPLITTER is a device that can allow connecting more than one fan to a single header. It merely connects all the fans in parallel to the mobo header. A SPLITTER consists of one arm of wires with a female connector that plugs into a mobo header, and two or more arms ending in male connectors for the fans. It has no other arm types. All the fans receive the same signals and do much the same thing. HOWEVER, the mobo header's system for measuring fan motor speed - counting the pulses coming in on Line #3 - can only deal with ONE pulse train signal. Feeding it two pulse trains that change will cause great confusion and errors. So any proper Splitter will arrange to send back to the header only the speed signal from ONE of its fans, and ignore the others. This may be done by having wires to Pin #3 on only one of its output male connectors, or by not having the actual pin in that position on some connectors. 4-pin Splitters can be used with both 3- and 4-pin fans and headers (yes, they fit), and the fans will be subject to the performance limits in (c) above. 3-pin Splitters really are useful only with 3-pin fans and headers that are using Voltage Control Mode. NOTE that, since all 3-pin fans can be speed controlled only by a mobo header using Voltage Control Mode (varying voltage on Pin #2), SPLITTERS are the only way to connect more than one of them to a single header. Such an arrangement is always subject to the current limits in (e) above.
(g) A HUB is a different device and (with few exceptions) is suitable only for 4-pin fan systems. A HUB has one arm with a female 4-pin connector to plug into a mobo 4-pin header that uses PWM Mode for control. It has two or more arms ending in 4-pin male connectors for the fans. Then it has one additional arm, one that must plug into a power output from the PSU (either a 4-pin female Molex or a SATA power output). The Hub gets all power for all its fans from the PSU and does NOT draw power from the mobo header, thus avoiding the current limit of the header. It does merely share the PWM signal from the mobo header to all its fans, but that does not overload the header. And like a Splitter, it sends back to the mobo on Pin #3 ONLY the speed signal of ONE fan. A HUB may look just like a group of wires in arms, or it may be a box with connecting arms and male output ports. Because a HUB depends on each fan to use the PWM signal to adjust its voltage, it can ONLY operate using a mobo header that is using PWM Mode to control, and it can ONLY control 4-pin fans. There are a very few Hubs that are different in one important way. These do not merely share their signals out to the fans. They use the PWM signal from the mobo to create their own internal group of male output headers that use Voltage Control Mode, and hence can control BOTH 3-pin and 4-pin fans in any mix. Typically these have that limit of 1 amp per output port (NOT 1 amp total for ALL fans on the Hub). So, a HUB can work only with a mobo 4-pin header that IS using PWM Mode, and can power AND control many fans from one common signal from a single header. BUT most Hubs can work only with 4-pin fans. Note that, because any Hub MUST have a PWM signal to operate, it can NOT be used with any fan header (3- or 4-pin) that is NOT using PWM Mode to control.
(h) We speak of fan SPEED controls. But the real truth is that the automatic controls of fans by the mobo are TEMPERATURE control systems. Each has a TEMPERATURE target to be met at a sensor, and the control system will change the signals it sends to the header fans to whatever it takes to get that temperature on target. It really does not care about fan speed - and in fact DOES NOT USE the speed signals from the fans to control them. Those signals are measured and available for you to "see". They ARE used by the mobo headers for a different function: FAILURE detection. The mobo monitors the speed signals on each header and will send out a warning if there is no signal coming in. For the case of the CPU_FAN header, extra attention is devoted to this to ensure that the mobo NEVER is without a cooling source. Most mobos have two such systems. One is for cooling the CPU chip, based on a sensor built into the CPU chip itself and sent out on one of its pins. The second is based on a different sensor built into the mobo at a place the maker judges most suitable to represent the entire boards' cooling needs. Some mobos now offer more than one mobo sensor, and the option to select which of those is used for each of the case fan headers.
With all that background, OP, you want to use four 3-pin fans with a mobo that has only two headers for case fans. That CAN be done and still use the mobo's ability to control all those fans' speeds automatically according to the processing load. You do not HAVE to switch to a third-party fan controller module, although that also IS an option. The details of how to do that depends on what fan type you have - you have settled on 3-pin - on the current draw specs of your fans, and on the details of what method of control your mobo uses on those two headers. If you tell us what maker and model of fans you have, and also what maker and exact model number of your mobo, we can advise exactly how to get it connected.