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Finding the Fourth Proportional to 327,157.29, 490,771.13 and 137,636.96

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Solution

The fourth proportional to 327,157.29, 490,771.13 and 137,636.96 is: 206,470.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,157.29 : 490,771.13 = 137,636.96 : x
  2. Step 2: Convert to fraction form
    327,157.29/490,771.13 = 137,636.96/x
  3. Step 3: Cross multiply
    327,157.29x = 490,771.13 × 137,636.96
  4. Step 4: Simplify right side
    327,157.29x = 67,548,243,246.92
  5. Step 5: Solve for x
    x = 67,548,243,246.92/327,157.29
  6. Step 6: Final answer
    x = 206,470.24

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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.