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Finding the Fourth Proportional to 340,691.59, 511,151.12 and 151,125.80

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Solution

The fourth proportional to 340,691.59, 511,151.12 and 151,125.80 is: 226,739.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,691.59 : 511,151.12 = 151,125.80 : x
  2. Step 2: Convert to fraction form
    340,691.59/511,151.12 = 151,125.80/x
  3. Step 3: Cross multiply
    340,691.59x = 511,151.12 × 151,125.80
  4. Step 4: Simplify right side
    340,691.59x = 77,248,123,019.87
  5. Step 5: Solve for x
    x = 77,248,123,019.87/340,691.59
  6. Step 6: Final answer
    x = 226,739.16

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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.