The issue with installing new RAM alongside old RAM centres around voltage, latency, capacity and its compatibility with the motherboard. It won't cause or require a reformat.
Voltage - if this is set incorrectly you could damage low voltage modules and/or cause instability of higher voltage modules.
Latency - this is the ability of the module to respond in a timely manner, if set too low the memory module will become unstable.
Capacity - newer modules are higher capacity and some older memory controllers may not recognise the full capacity of the module if it recognises it at all.
Any combination of these can lead to your computer failing to boot.
You can install new RAM in old systems but you really need it to match the existing...