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Finding the Fourth Proportional to 378,874.62, 568,335.56 and 126,177.71

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Solution

The fourth proportional to 378,874.62, 568,335.56 and 126,177.71 is: 189,274.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,874.62 : 568,335.56 = 126,177.71 : x
  2. Step 2: Convert to fraction form
    378,874.62/568,335.56 = 126,177.71/x
  3. Step 3: Cross multiply
    378,874.62x = 568,335.56 × 126,177.71
  4. Step 4: Simplify right side
    378,874.62x = 71,711,275,999.80
  5. Step 5: Solve for x
    x = 71,711,275,999.80/378,874.62
  6. Step 6: Final answer
    x = 189,274.43

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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.