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Finding the Fourth Proportional to 398,778.48, 598,268.52 and 132,540.30

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Solution

The fourth proportional to 398,778.48, 598,268.52 and 132,540.30 is: 198,843.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,778.48 : 598,268.52 = 132,540.30 : x
  2. Step 2: Convert to fraction form
    398,778.48/598,268.52 = 132,540.30/x
  3. Step 3: Cross multiply
    398,778.48x = 598,268.52 × 132,540.30
  4. Step 4: Simplify right side
    398,778.48x = 79,294,689,121.36
  5. Step 5: Solve for x
    x = 79,294,689,121.36/398,778.48
  6. Step 6: Final answer
    x = 198,843.95

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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.