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Finding the Fourth Proportional to 306,791.28, 423,375.12 and 179,442

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Solution

The fourth proportional to 306,791.28, 423,375.12 and 179,442 is: 247,631.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,791.28 : 423,375.12 = 179,442 : x
  2. Step 2: Convert to fraction form
    306,791.28/423,375.12 = 179,442/x
  3. Step 3: Cross multiply
    306,791.28x = 423,375.12 × 179,442
  4. Step 4: Simplify right side
    306,791.28x = 75,971,278,283.04
  5. Step 5: Solve for x
    x = 75,971,278,283.04/306,791.28
  6. Step 6: Final answer
    x = 247,631.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.