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Finding the Fourth Proportional to 274,092.10, 411,138.15 and 74,443.30

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Solution

The fourth proportional to 274,092.10, 411,138.15 and 74,443.30 is: 111,664.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,092.10 : 411,138.15 = 74,443.30 : x
  2. Step 2: Convert to fraction form
    274,092.10/411,138.15 = 74,443.30/x
  3. Step 3: Cross multiply
    274,092.10x = 411,138.15 × 74,443.30
  4. Step 4: Simplify right side
    274,092.10x = 30,606,480,641.90
  5. Step 5: Solve for x
    x = 30,606,480,641.90/274,092.10
  6. Step 6: Final answer
    x = 111,664.95

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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.