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Finding the Fourth Proportional to 327,131.80, 490,697.12 and 102,509.48

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Solution

The fourth proportional to 327,131.80, 490,697.12 and 102,509.48 is: 153,764.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,131.80 : 490,697.12 = 102,509.48 : x
  2. Step 2: Convert to fraction form
    327,131.80/490,697.12 = 102,509.48/x
  3. Step 3: Cross multiply
    327,131.80x = 490,697.12 × 102,509.48
  4. Step 4: Simplify right side
    327,131.80x = 50,301,108,091.71
  5. Step 5: Solve for x
    x = 50,301,108,091.71/327,131.80
  6. Step 6: Final answer
    x = 153,764.04

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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.