Unless you set it up as an amplifier, a simple mechanical advantage will cost you in stroke. So if you design a mechanism with a 4:1 mechanical advantage and you push the input one inch, the output will push four times as hard as the input, but only 1/4 as far (1/4"). This is because of conservation of energy, though it can be done with simple mechanisms like levers, pulleys, or inclined planes, etc.
In the case of an amplifier, you can have more force at the same stroke, or even a larger stroke, but you have to have an external source of additional energy, like a hydraulic pump or motor. In this case, a small pressure on a spring-loaded valve can cause massive, though proportional, amounts of force at the output, but it is technically produced by the pump, not the input force itself.
Don
Kansas City