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Finding the Fourth Proportional to 327,158.79, 490,773.38 and 137,638.46

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Solution

The fourth proportional to 327,158.79, 490,773.38 and 137,638.46 is: 206,472.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,158.79 : 490,773.38 = 137,638.46 : x
  2. Step 2: Convert to fraction form
    327,158.79/490,773.38 = 137,638.46/x
  3. Step 3: Cross multiply
    327,158.79x = 490,773.38 × 137,638.46
  4. Step 4: Simplify right side
    327,158.79x = 67,549,289,090.14
  5. Step 5: Solve for x
    x = 67,549,289,090.14/327,158.79
  6. Step 6: Final answer
    x = 206,472.49

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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.