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Finding the Fourth Proportional to 327,378.24, 490,574.88 and 221,832

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Solution

The fourth proportional to 327,378.24, 490,574.88 and 221,832 is: 332,414.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,378.24 : 490,574.88 = 221,832 : x
  2. Step 2: Convert to fraction form
    327,378.24/490,574.88 = 221,832/x
  3. Step 3: Cross multiply
    327,378.24x = 490,574.88 × 221,832
  4. Step 4: Simplify right side
    327,378.24x = 108,825,206,780.16
  5. Step 5: Solve for x
    x = 108,825,206,780.16/327,378.24
  6. Step 6: Final answer
    x = 332,414.29

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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.