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Finding the Fourth Proportional to 327,116.10, 490,674.15 and 220,827.90

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Solution

The fourth proportional to 327,116.10, 490,674.15 and 220,827.90 is: 331,241.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,116.10 : 490,674.15 = 220,827.90 : x
  2. Step 2: Convert to fraction form
    327,116.10/490,674.15 = 220,827.90/x
  3. Step 3: Cross multiply
    327,116.10x = 490,674.15 × 220,827.90
  4. Step 4: Simplify right side
    327,116.10x = 108,354,542,128.79
  5. Step 5: Solve for x
    x = 108,354,542,128.79/327,116.10
  6. Step 6: Final answer
    x = 331,241.85

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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.