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Finding the Fourth Proportional to 327,119.80, 490,178.96 and 220,107.44

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Solution

The fourth proportional to 327,119.80, 490,178.96 and 220,107.44 is: 329,824.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,119.80 : 490,178.96 = 220,107.44 : x
  2. Step 2: Convert to fraction form
    327,119.80/490,178.96 = 220,107.44/x
  3. Step 3: Cross multiply
    327,119.80x = 490,178.96 × 220,107.44
  4. Step 4: Simplify right side
    327,119.80x = 107,892,036,027.46
  5. Step 5: Solve for x
    x = 107,892,036,027.46/327,119.80
  6. Step 6: Final answer
    x = 329,824.23

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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.