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Finding the Fourth Proportional to 274,619.40, 411,237.90 and 180,616.20

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Solution

The fourth proportional to 274,619.40, 411,237.90 and 180,616.20 is: 270,469.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,619.40 : 411,237.90 = 180,616.20 : x
  2. Step 2: Convert to fraction form
    274,619.40/411,237.90 = 180,616.20/x
  3. Step 3: Cross multiply
    274,619.40x = 411,237.90 × 180,616.20
  4. Step 4: Simplify right side
    274,619.40x = 74,276,226,793.98
  5. Step 5: Solve for x
    x = 74,276,226,793.98/274,619.40
  6. Step 6: Final answer
    x = 270,469.70

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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.