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Finding the Fourth Proportional to 285,974.76, 428,951.35 and 86,289.82

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Solution

The fourth proportional to 285,974.76, 428,951.35 and 86,289.82 is: 129,431.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,974.76 : 428,951.35 = 86,289.82 : x
  2. Step 2: Convert to fraction form
    285,974.76/428,951.35 = 86,289.82/x
  3. Step 3: Cross multiply
    285,974.76x = 428,951.35 × 86,289.82
  4. Step 4: Simplify right side
    285,974.76x = 37,014,134,780.26
  5. Step 5: Solve for x
    x = 37,014,134,780.26/285,974.76
  6. Step 6: Final answer
    x = 129,431.47

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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.