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Finding the Fourth Proportional to 278,965.54, 384,990.33 and 156,469.42

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Solution

The fourth proportional to 278,965.54, 384,990.33 and 156,469.42 is: 215,937.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,965.54 : 384,990.33 = 156,469.42 : x
  2. Step 2: Convert to fraction form
    278,965.54/384,990.33 = 156,469.42/x
  3. Step 3: Cross multiply
    278,965.54x = 384,990.33 × 156,469.42
  4. Step 4: Simplify right side
    278,965.54x = 60,239,213,640.71
  5. Step 5: Solve for x
    x = 60,239,213,640.71/278,965.54
  6. Step 6: Final answer
    x = 215,937.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.