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Finding the Fourth Proportional to 327,081.69, 490,812.87 and 137,528.34

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Solution

The fourth proportional to 327,081.69, 490,812.87 and 137,528.34 is: 206,372.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,081.69 : 490,812.87 = 137,528.34 : x
  2. Step 2: Convert to fraction form
    327,081.69/490,812.87 = 137,528.34/x
  3. Step 3: Cross multiply
    327,081.69x = 490,812.87 × 137,528.34
  4. Step 4: Simplify right side
    327,081.69x = 67,500,679,261.74
  5. Step 5: Solve for x
    x = 67,500,679,261.74/327,081.69
  6. Step 6: Final answer
    x = 206,372.54

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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.