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Finding the Fourth Proportional to 274,496.28, 411,697.70 and 74,769.95

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Solution

The fourth proportional to 274,496.28, 411,697.70 and 74,769.95 is: 112,142.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,496.28 : 411,697.70 = 74,769.95 : x
  2. Step 2: Convert to fraction form
    274,496.28/411,697.70 = 74,769.95/x
  3. Step 3: Cross multiply
    274,496.28x = 411,697.70 × 74,769.95
  4. Step 4: Simplify right side
    274,496.28x = 30,782,617,379.90
  5. Step 5: Solve for x
    x = 30,782,617,379.90/274,496.28
  6. Step 6: Final answer
    x = 112,142.20

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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.