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Finding the Fourth Proportional to 654,043.20, 981,691.20 and 338,726.40

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Solution

The fourth proportional to 654,043.20, 981,691.20 and 338,726.40 is: 508,414.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,043.20 : 981,691.20 = 338,726.40 : x
  2. Step 2: Convert to fraction form
    654,043.20/981,691.20 = 338,726.40/x
  3. Step 3: Cross multiply
    654,043.20x = 981,691.20 × 338,726.40
  4. Step 4: Simplify right side
    654,043.20x = 332,524,726,087.68
  5. Step 5: Solve for x
    x = 332,524,726,087.68/654,043.20
  6. Step 6: Final answer
    x = 508,414.01

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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.