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Finding the Fourth Proportional to 431,599.68, 647,477.28 and 132,074.88

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Solution

The fourth proportional to 431,599.68, 647,477.28 and 132,074.88 is: 198,136.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,599.68 : 647,477.28 = 132,074.88 : x
  2. Step 2: Convert to fraction form
    431,599.68/647,477.28 = 132,074.88/x
  3. Step 3: Cross multiply
    431,599.68x = 647,477.28 × 132,074.88
  4. Step 4: Simplify right side
    431,599.68x = 85,515,484,058.73
  5. Step 5: Solve for x
    x = 85,515,484,058.73/431,599.68
  6. Step 6: Final answer
    x = 198,136.12

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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.