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Finding the Fourth Proportional to 327,471.36, 491,224.32 and 105,872.64

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Solution

The fourth proportional to 327,471.36, 491,224.32 and 105,872.64 is: 158,814.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,471.36 : 491,224.32 = 105,872.64 : x
  2. Step 2: Convert to fraction form
    327,471.36/491,224.32 = 105,872.64/x
  3. Step 3: Cross multiply
    327,471.36x = 491,224.32 × 105,872.64
  4. Step 4: Simplify right side
    327,471.36x = 52,007,215,590.60
  5. Step 5: Solve for x
    x = 52,007,215,590.60/327,471.36
  6. Step 6: Final answer
    x = 158,814.55

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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.