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Finding the Fourth Proportional to 327,158.82, 490,738.30 and 102,519.20

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Solution

The fourth proportional to 327,158.82, 490,738.30 and 102,519.20 is: 153,778.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,158.82 : 490,738.30 = 102,519.20 : x
  2. Step 2: Convert to fraction form
    327,158.82/490,738.30 = 102,519.20/x
  3. Step 3: Cross multiply
    327,158.82x = 490,738.30 × 102,519.20
  4. Step 4: Simplify right side
    327,158.82x = 50,310,097,925.36
  5. Step 5: Solve for x
    x = 50,310,097,925.36/327,158.82
  6. Step 6: Final answer
    x = 153,778.82

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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.