A solenoid operated pilot valve utilizes an offset pilot opening and a lever arm to provide a mechanical advantage to multiply the opening force of the solenoid, thereby allowing the solenoid size to be reduced. The lever arm used to position the pilot valving member is mechanically positioned via a solenoid driven plunger in one embodiment, and is positioned by magnetic force alone in an alternative, plungerless embodiment. The lever arm pivots via a fixed fulcrum point, a profiled fulcrum providing continuously variable mechanical advantage, or a stepped fulcrum providing discreet different mechanical advantages as the pilot valving member is moved from its fully closed to its fully opened position.