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Finding the Fourth Proportional to 327,242.92, 490,809.70 and 90,609.52

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Solution

The fourth proportional to 327,242.92, 490,809.70 and 90,609.52 is: 135,899.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,242.92 : 490,809.70 = 90,609.52 : x
  2. Step 2: Convert to fraction form
    327,242.92/490,809.70 = 90,609.52/x
  3. Step 3: Cross multiply
    327,242.92x = 490,809.70 × 90,609.52
  4. Step 4: Simplify right side
    327,242.92x = 44,472,031,328.34
  5. Step 5: Solve for x
    x = 44,472,031,328.34/327,242.92
  6. Step 6: Final answer
    x = 135,899.14

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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.