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Finding the Fourth Proportional to 311,696.88, 429,942.24 and 216,168.72

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Solution

The fourth proportional to 311,696.88, 429,942.24 and 216,168.72 is: 298,174.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,696.88 : 429,942.24 = 216,168.72 : x
  2. Step 2: Convert to fraction form
    311,696.88/429,942.24 = 216,168.72/x
  3. Step 3: Cross multiply
    311,696.88x = 429,942.24 × 216,168.72
  4. Step 4: Simplify right side
    311,696.88x = 92,940,063,694.73
  5. Step 5: Solve for x
    x = 92,940,063,694.73/311,696.88
  6. Step 6: Final answer
    x = 298,174.51

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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.