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Finding the Fourth Proportional to 278,504.38, 417,707.17 and 126,665.88

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Solution

The fourth proportional to 278,504.38, 417,707.17 and 126,665.88 is: 189,976.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,504.38 : 417,707.17 = 126,665.88 : x
  2. Step 2: Convert to fraction form
    278,504.38/417,707.17 = 126,665.88/x
  3. Step 3: Cross multiply
    278,504.38x = 417,707.17 × 126,665.88
  4. Step 4: Simplify right side
    278,504.38x = 52,909,246,736.90
  5. Step 5: Solve for x
    x = 52,909,246,736.90/278,504.38
  6. Step 6: Final answer
    x = 189,976.36

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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.