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Finding the Fourth Proportional to 285,387.60, 428,139.84 and 127,632

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Solution

The fourth proportional to 285,387.60, 428,139.84 and 127,632 is: 191,474.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,387.60 : 428,139.84 = 127,632 : x
  2. Step 2: Convert to fraction form
    285,387.60/428,139.84 = 127,632/x
  3. Step 3: Cross multiply
    285,387.60x = 428,139.84 × 127,632
  4. Step 4: Simplify right side
    285,387.60x = 54,644,344,058.88
  5. Step 5: Solve for x
    x = 54,644,344,058.88/285,387.60
  6. Step 6: Final answer
    x = 191,474.14

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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.