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Finding the Fourth Proportional to 431,986.05, 647,988.42 and 132,460

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Solution

The fourth proportional to 431,986.05, 647,988.42 and 132,460 is: 198,692.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,986.05 : 647,988.42 = 132,460 : x
  2. Step 2: Convert to fraction form
    431,986.05/647,988.42 = 132,460/x
  3. Step 3: Cross multiply
    431,986.05x = 647,988.42 × 132,460
  4. Step 4: Simplify right side
    431,986.05x = 85,832,546,113.20
  5. Step 5: Solve for x
    x = 85,832,546,113.20/431,986.05
  6. Step 6: Final answer
    x = 198,692.87

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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.