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Finding the Fourth Proportional to 654,406.20, 981,609.30 and 338,959.80

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Solution

The fourth proportional to 654,406.20, 981,609.30 and 338,959.80 is: 508,439.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,406.20 : 981,609.30 = 338,959.80 : x
  2. Step 2: Convert to fraction form
    654,406.20/981,609.30 = 338,959.80/x
  3. Step 3: Cross multiply
    654,406.20x = 981,609.30 × 338,959.80
  4. Step 4: Simplify right side
    654,406.20x = 332,726,092,006.14
  5. Step 5: Solve for x
    x = 332,726,092,006.14/654,406.20
  6. Step 6: Final answer
    x = 508,439.70

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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.