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Finding the Fourth Proportional to 274,387.20, 411,542.40 and 87,417.60

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Solution

The fourth proportional to 274,387.20, 411,542.40 and 87,417.60 is: 131,114.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,387.20 : 411,542.40 = 87,417.60 : x
  2. Step 2: Convert to fraction form
    274,387.20/411,542.40 = 87,417.60/x
  3. Step 3: Cross multiply
    274,387.20x = 411,542.40 × 87,417.60
  4. Step 4: Simplify right side
    274,387.20x = 35,976,048,906.24
  5. Step 5: Solve for x
    x = 35,976,048,906.24/274,387.20
  6. Step 6: Final answer
    x = 131,114.17

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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.