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Finding the Fourth Proportional to 502,411.86, 752,740.26 and 418,709.90

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Solution

The fourth proportional to 502,411.86, 752,740.26 and 418,709.90 is: 627,333.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,411.86 : 752,740.26 = 418,709.90 : x
  2. Step 2: Convert to fraction form
    502,411.86/752,740.26 = 418,709.90/x
  3. Step 3: Cross multiply
    502,411.86x = 752,740.26 × 418,709.90
  4. Step 4: Simplify right side
    502,411.86x = 315,179,798,990.57
  5. Step 5: Solve for x
    x = 315,179,798,990.57/502,411.86
  6. Step 6: Final answer
    x = 627,333.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.