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Finding the Fourth Proportional to 327,132.56, 490,497.89 and 127,219.88

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Solution

The fourth proportional to 327,132.56, 490,497.89 and 127,219.88 is: 190,751.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,132.56 : 490,497.89 = 127,219.88 : x
  2. Step 2: Convert to fraction form
    327,132.56/490,497.89 = 127,219.88/x
  3. Step 3: Cross multiply
    327,132.56x = 490,497.89 × 127,219.88
  4. Step 4: Simplify right side
    327,132.56x = 62,401,083,296.20
  5. Step 5: Solve for x
    x = 62,401,083,296.20/327,132.56
  6. Step 6: Final answer
    x = 190,751.67

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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.