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Finding the Fourth Proportional to 278,793.28, 418,400.24 and 129,138.57

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Solution

The fourth proportional to 278,793.28, 418,400.24 and 129,138.57 is: 193,805.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,793.28 : 418,400.24 = 129,138.57 : x
  2. Step 2: Convert to fraction form
    278,793.28/418,400.24 = 129,138.57/x
  3. Step 3: Cross multiply
    278,793.28x = 418,400.24 × 129,138.57
  4. Step 4: Simplify right side
    278,793.28x = 54,031,608,035.56
  5. Step 5: Solve for x
    x = 54,031,608,035.56/278,793.28
  6. Step 6: Final answer
    x = 193,805.28

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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.