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Finding the Fourth Proportional to 274,344.84, 411,517.26 and 87,356.34

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Solution

The fourth proportional to 274,344.84, 411,517.26 and 87,356.34 is: 131,034.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,344.84 : 411,517.26 = 87,356.34 : x
  2. Step 2: Convert to fraction form
    274,344.84/411,517.26 = 87,356.34/x
  3. Step 3: Cross multiply
    274,344.84x = 411,517.26 × 87,356.34
  4. Step 4: Simplify right side
    274,344.84x = 35,948,641,680.43
  5. Step 5: Solve for x
    x = 35,948,641,680.43/274,344.84
  6. Step 6: Final answer
    x = 131,034.51

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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.