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Finding the Fourth Proportional to 327,165.64, 490,747.70 and 102,543.20

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Solution

The fourth proportional to 327,165.64, 490,747.70 and 102,543.20 is: 153,814.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,165.64 : 490,747.70 = 102,543.20 : x
  2. Step 2: Convert to fraction form
    327,165.64/490,747.70 = 102,543.20/x
  3. Step 3: Cross multiply
    327,165.64x = 490,747.70 × 102,543.20
  4. Step 4: Simplify right side
    327,165.64x = 50,322,839,550.64
  5. Step 5: Solve for x
    x = 50,322,839,550.64/327,165.64
  6. Step 6: Final answer
    x = 153,814.56

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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.