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Finding the Fourth Proportional to 323,122.64, 445,923.96 and 179,891.78

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Solution

The fourth proportional to 323,122.64, 445,923.96 and 179,891.78 is: 248,258.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,122.64 : 445,923.96 = 179,891.78 : x
  2. Step 2: Convert to fraction form
    323,122.64/445,923.96 = 179,891.78/x
  3. Step 3: Cross multiply
    323,122.64x = 445,923.96 × 179,891.78
  4. Step 4: Simplify right side
    323,122.64x = 80,218,054,909.05
  5. Step 5: Solve for x
    x = 80,218,054,909.05/323,122.64
  6. Step 6: Final answer
    x = 248,258.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.