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Finding the Fourth Proportional to 285,938.30, 428,910.53 and 86,260.42

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Solution

The fourth proportional to 285,938.30, 428,910.53 and 86,260.42 is: 129,391.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,938.30 : 428,910.53 = 86,260.42 : x
  2. Step 2: Convert to fraction form
    285,938.30/428,910.53 = 86,260.42/x
  3. Step 3: Cross multiply
    285,938.30x = 428,910.53 × 86,260.42
  4. Step 4: Simplify right side
    285,938.30x = 36,998,002,460.22
  5. Step 5: Solve for x
    x = 36,998,002,460.22/285,938.30
  6. Step 6: Final answer
    x = 129,391.56

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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.