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Finding the Fourth Proportional to 431,613.76, 647,419.68 and 151,211.20

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Solution

The fourth proportional to 431,613.76, 647,419.68 and 151,211.20 is: 226,816.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,613.76 : 647,419.68 = 151,211.20 : x
  2. Step 2: Convert to fraction form
    431,613.76/647,419.68 = 151,211.20/x
  3. Step 3: Cross multiply
    431,613.76x = 647,419.68 × 151,211.20
  4. Step 4: Simplify right side
    431,613.76x = 97,897,106,716.42
  5. Step 5: Solve for x
    x = 97,897,106,716.42/431,613.76
  6. Step 6: Final answer
    x = 226,816.46

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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.