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Finding the Fourth Proportional to 285,978.78, 428,885.91 and 115,200

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Solution

The fourth proportional to 285,978.78, 428,885.91 and 115,200 is: 172,766.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,978.78 : 428,885.91 = 115,200 : x
  2. Step 2: Convert to fraction form
    285,978.78/428,885.91 = 115,200/x
  3. Step 3: Cross multiply
    285,978.78x = 428,885.91 × 115,200
  4. Step 4: Simplify right side
    285,978.78x = 49,407,656,832
  5. Step 5: Solve for x
    x = 49,407,656,832/285,978.78
  6. Step 6: Final answer
    x = 172,766.86

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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.