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Finding the Fourth Proportional to 431,598.89, 647,493.17 and 132,102.57

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Solution

The fourth proportional to 431,598.89, 647,493.17 and 132,102.57 is: 198,182.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,598.89 : 647,493.17 = 132,102.57 : x
  2. Step 2: Convert to fraction form
    431,598.89/647,493.17 = 132,102.57/x
  3. Step 3: Cross multiply
    431,598.89x = 647,493.17 × 132,102.57
  4. Step 4: Simplify right side
    431,598.89x = 85,535,511,401.63
  5. Step 5: Solve for x
    x = 85,535,511,401.63/431,598.89
  6. Step 6: Final answer
    x = 198,182.88

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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.