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Finding the Fourth Proportional to 285,957.38, 428,938.96 and 86,279.42

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Solution

The fourth proportional to 285,957.38, 428,938.96 and 86,279.42 is: 129,420.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,957.38 : 428,938.96 = 86,279.42 : x
  2. Step 2: Convert to fraction form
    285,957.38/428,938.96 = 86,279.42/x
  3. Step 3: Cross multiply
    285,957.38x = 428,938.96 × 86,279.42
  4. Step 4: Simplify right side
    285,957.38x = 37,008,604,684.20
  5. Step 5: Solve for x
    x = 37,008,604,684.20/285,957.38
  6. Step 6: Final answer
    x = 129,420.00

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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.