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Finding the Fourth Proportional to 285,951.88, 428,930.70 and 86,273.92

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Solution

The fourth proportional to 285,951.88, 428,930.70 and 86,273.92 is: 129,411.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,951.88 : 428,930.70 = 86,273.92 : x
  2. Step 2: Convert to fraction form
    285,951.88/428,930.70 = 86,273.92/x
  3. Step 3: Cross multiply
    285,951.88x = 428,930.70 × 86,273.92
  4. Step 4: Simplify right side
    285,951.88x = 37,005,532,897.34
  5. Step 5: Solve for x
    x = 37,005,532,897.34/285,951.88
  6. Step 6: Final answer
    x = 129,411.75

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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.