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Finding the Fourth Proportional to 431,568.70, 647,401.65 and 132,046.90

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Solution

The fourth proportional to 431,568.70, 647,401.65 and 132,046.90 is: 198,085.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,568.70 : 647,401.65 = 132,046.90 : x
  2. Step 2: Convert to fraction form
    431,568.70/647,401.65 = 132,046.90/x
  3. Step 3: Cross multiply
    431,568.70x = 647,401.65 × 132,046.90
  4. Step 4: Simplify right side
    431,568.70x = 85,487,380,937.39
  5. Step 5: Solve for x
    x = 85,487,380,937.39/431,568.70
  6. Step 6: Final answer
    x = 198,085.22

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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.