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Finding the Fourth Proportional to 274,996.20, 411,803.10 and 204,493.80

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Solution

The fourth proportional to 274,996.20, 411,803.10 and 204,493.80 is: 306,226.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,996.20 : 411,803.10 = 204,493.80 : x
  2. Step 2: Convert to fraction form
    274,996.20/411,803.10 = 204,493.80/x
  3. Step 3: Cross multiply
    274,996.20x = 411,803.10 × 204,493.80
  4. Step 4: Simplify right side
    274,996.20x = 84,211,180,770.78
  5. Step 5: Solve for x
    x = 84,211,180,770.78/274,996.20
  6. Step 6: Final answer
    x = 306,226.71

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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.