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Finding the Fourth Proportional to 331,670, 457,704.20 and 180,767

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Solution

The fourth proportional to 331,670, 457,704.20 and 180,767 is: 249,458.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,670 : 457,704.20 = 180,767 : x
  2. Step 2: Convert to fraction form
    331,670/457,704.20 = 180,767/x
  3. Step 3: Cross multiply
    331,670x = 457,704.20 × 180,767
  4. Step 4: Simplify right side
    331,670x = 82,737,815,121.40
  5. Step 5: Solve for x
    x = 82,737,815,121.40/331,670
  6. Step 6: Final answer
    x = 249,458.24

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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.