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Finding the Fourth Proportional to 321,432.40, 482,209.08 and 129,321.28

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Solution

The fourth proportional to 321,432.40, 482,209.08 and 129,321.28 is: 194,006.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,432.40 : 482,209.08 = 129,321.28 : x
  2. Step 2: Convert to fraction form
    321,432.40/482,209.08 = 129,321.28/x
  3. Step 3: Cross multiply
    321,432.40x = 482,209.08 × 129,321.28
  4. Step 4: Simplify right side
    321,432.40x = 62,359,895,453.22
  5. Step 5: Solve for x
    x = 62,359,895,453.22/321,432.40
  6. Step 6: Final answer
    x = 194,006.25

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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.