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Finding the Fourth Proportional to 502,408.86, 752,735.76 and 418,706.90

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Solution

The fourth proportional to 502,408.86, 752,735.76 and 418,706.90 is: 627,329.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,408.86 : 752,735.76 = 418,706.90 : x
  2. Step 2: Convert to fraction form
    502,408.86/752,735.76 = 418,706.90/x
  3. Step 3: Cross multiply
    502,408.86x = 752,735.76 × 418,706.90
  4. Step 4: Simplify right side
    502,408.86x = 315,175,659,489.43
  5. Step 5: Solve for x
    x = 315,175,659,489.43/502,408.86
  6. Step 6: Final answer
    x = 627,329.02

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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.