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Finding the Fourth Proportional to 329,115.52, 454,178.64 and 178,212.52

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Solution

The fourth proportional to 329,115.52, 454,178.64 and 178,212.52 is: 245,932.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,115.52 : 454,178.64 = 178,212.52 : x
  2. Step 2: Convert to fraction form
    329,115.52/454,178.64 = 178,212.52/x
  3. Step 3: Cross multiply
    329,115.52x = 454,178.64 × 178,212.52
  4. Step 4: Simplify right side
    329,115.52x = 80,940,319,964.57
  5. Step 5: Solve for x
    x = 80,940,319,964.57/329,115.52
  6. Step 6: Final answer
    x = 245,932.86

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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.