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Finding the Fourth Proportional to 502,409.86, 752,737.26 and 418,707.90

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Solution

The fourth proportional to 502,409.86, 752,737.26 and 418,707.90 is: 627,330.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,409.86 : 752,737.26 = 418,707.90 : x
  2. Step 2: Convert to fraction form
    502,409.86/752,737.26 = 418,707.90/x
  3. Step 3: Cross multiply
    502,409.86x = 752,737.26 × 418,707.90
  4. Step 4: Simplify right side
    502,409.86x = 315,177,037,386.35
  5. Step 5: Solve for x
    x = 315,177,037,386.35/502,409.86
  6. Step 6: Final answer
    x = 627,330.52

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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.