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Finding the Fourth Proportional to 281,057.10, 421,780.05 and 202,227.90

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Solution

The fourth proportional to 281,057.10, 421,780.05 and 202,227.90 is: 303,481.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,057.10 : 421,780.05 = 202,227.90 : x
  2. Step 2: Convert to fraction form
    281,057.10/421,780.05 = 202,227.90/x
  3. Step 3: Cross multiply
    281,057.10x = 421,780.05 × 202,227.90
  4. Step 4: Simplify right side
    281,057.10x = 85,295,693,773.40
  5. Step 5: Solve for x
    x = 85,295,693,773.40/281,057.10
  6. Step 6: Final answer
    x = 303,481.73

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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.