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Finding the Fourth Proportional to 327,212.32, 491,081 and 169,485.88

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Solution

The fourth proportional to 327,212.32, 491,081 and 169,485.88 is: 254,364.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,212.32 : 491,081 = 169,485.88 : x
  2. Step 2: Convert to fraction form
    327,212.32/491,081 = 169,485.88/x
  3. Step 3: Cross multiply
    327,212.32x = 491,081 × 169,485.88
  4. Step 4: Simplify right side
    327,212.32x = 83,231,295,436.28
  5. Step 5: Solve for x
    x = 83,231,295,436.28/327,212.32
  6. Step 6: Final answer
    x = 254,364.80

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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.