Finding the Fourth Proportional to 497,472,725.92, 686,513,277.84 and 277,470,332.32
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Solution
The fourth proportional to 497,472,725.92, 686,513,277.84 and 277,470,332.32 is: 382,909,569.55
Step by Step Solution
- Step 1: Write the proportion equation
497,472,725.92 : 686,513,277.84 = 277,470,332.32 : x - Step 2: Convert to fraction form
497,472,725.92/686,513,277.84 = 277,470,332.32/x - Step 3: Cross multiply
497,472,725.92x = 686,513,277.84 × 277,470,332.32 - Step 4: Simplify right side
497,472,725.92x = 190,487,067,344,357,312 - Step 5: Solve for x
x = 190,487,067,344,357,312/497,472,725.92 - Step 6: Final answer
x = 382,909,569.55
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.