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Finding the Fourth Proportional to 502,151.35, 755,941.78 and 457,459.93

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Solution

The fourth proportional to 502,151.35, 755,941.78 and 457,459.93 is: 688,663.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,151.35 : 755,941.78 = 457,459.93 : x
  2. Step 2: Convert to fraction form
    502,151.35/755,941.78 = 457,459.93/x
  3. Step 3: Cross multiply
    502,151.35x = 755,941.78 × 457,459.93
  4. Step 4: Simplify right side
    502,151.35x = 345,813,073,762.88
  5. Step 5: Solve for x
    x = 345,813,073,762.88/502,151.35
  6. Step 6: Final answer
    x = 688,663.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.