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Finding the Fourth Proportional to 327,353.28, 490,388.64 and 169,685.76

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Solution

The fourth proportional to 327,353.28, 490,388.64 and 169,685.76 is: 254,196.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,353.28 : 490,388.64 = 169,685.76 : x
  2. Step 2: Convert to fraction form
    327,353.28/490,388.64 = 169,685.76/x
  3. Step 3: Cross multiply
    327,353.28x = 490,388.64 × 169,685.76
  4. Step 4: Simplify right side
    327,353.28x = 83,211,969,073.77
  5. Step 5: Solve for x
    x = 83,211,969,073.77/327,353.28
  6. Step 6: Final answer
    x = 254,196.23

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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.