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Finding the Fourth Proportional to 329,201.20, 493,506.15 and 129,657.70

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Solution

The fourth proportional to 329,201.20, 493,506.15 and 129,657.70 is: 194,370.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,201.20 : 493,506.15 = 129,657.70 : x
  2. Step 2: Convert to fraction form
    329,201.20/493,506.15 = 129,657.70/x
  3. Step 3: Cross multiply
    329,201.20x = 493,506.15 × 129,657.70
  4. Step 4: Simplify right side
    329,201.20x = 63,986,872,344.86
  5. Step 5: Solve for x
    x = 63,986,872,344.86/329,201.20
  6. Step 6: Final answer
    x = 194,370.11

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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.