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Finding the Fourth Proportional to 327,209.32, 490,799.70 and 102,564.64

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Solution

The fourth proportional to 327,209.32, 490,799.70 and 102,564.64 is: 153,842.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,209.32 : 490,799.70 = 102,564.64 : x
  2. Step 2: Convert to fraction form
    327,209.32/490,799.70 = 102,564.64/x
  3. Step 3: Cross multiply
    327,209.32x = 490,799.70 × 102,564.64
  4. Step 4: Simplify right side
    327,209.32x = 50,338,694,542.61
  5. Step 5: Solve for x
    x = 50,338,694,542.61/327,209.32
  6. Step 6: Final answer
    x = 153,842.48

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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.