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Finding the Fourth Proportional to 274,234.88, 411,344.64 and 87,257.60

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Solution

The fourth proportional to 274,234.88, 411,344.64 and 87,257.60 is: 130,883.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,234.88 : 411,344.64 = 87,257.60 : x
  2. Step 2: Convert to fraction form
    274,234.88/411,344.64 = 87,257.60/x
  3. Step 3: Cross multiply
    274,234.88x = 411,344.64 × 87,257.60
  4. Step 4: Simplify right side
    274,234.88x = 35,892,946,059.26
  5. Step 5: Solve for x
    x = 35,892,946,059.26/274,234.88
  6. Step 6: Final answer
    x = 130,883.96

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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.