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Finding the Fourth Proportional to 329,023.78, 454,052.98 and 178,120.78

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Solution

The fourth proportional to 329,023.78, 454,052.98 and 178,120.78 is: 245,806.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,023.78 : 454,052.98 = 178,120.78 : x
  2. Step 2: Convert to fraction form
    329,023.78/454,052.98 = 178,120.78/x
  3. Step 3: Cross multiply
    329,023.78x = 454,052.98 × 178,120.78
  4. Step 4: Simplify right side
    329,023.78x = 80,876,268,243.36
  5. Step 5: Solve for x
    x = 80,876,268,243.36/329,023.78
  6. Step 6: Final answer
    x = 245,806.76

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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.