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Finding the Fourth Proportional to 327,121.80, 490,181.96 and 220,109.44

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Solution

The fourth proportional to 327,121.80, 490,181.96 and 220,109.44 is: 329,827.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,121.80 : 490,181.96 = 220,109.44 : x
  2. Step 2: Convert to fraction form
    327,121.80/490,181.96 = 220,109.44/x
  3. Step 3: Cross multiply
    327,121.80x = 490,181.96 × 220,109.44
  4. Step 4: Simplify right side
    327,121.80x = 107,893,676,713.70
  5. Step 5: Solve for x
    x = 107,893,676,713.70/327,121.80
  6. Step 6: Final answer
    x = 329,827.23

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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.