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Finding the Fourth Proportional to 435,694.90, 653,542.35 and 155,221.30

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Solution

The fourth proportional to 435,694.90, 653,542.35 and 155,221.30 is: 232,831.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,694.90 : 653,542.35 = 155,221.30 : x
  2. Step 2: Convert to fraction form
    435,694.90/653,542.35 = 155,221.30/x
  3. Step 3: Cross multiply
    435,694.90x = 653,542.35 × 155,221.30
  4. Step 4: Simplify right side
    435,694.90x = 101,443,693,172.06
  5. Step 5: Solve for x
    x = 101,443,693,172.06/435,694.90
  6. Step 6: Final answer
    x = 232,831.95

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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.