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Finding the Fourth Proportional to 331,338, 457,251.30 and 180,435

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Solution

The fourth proportional to 331,338, 457,251.30 and 180,435 is: 249,002.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,338 : 457,251.30 = 180,435 : x
  2. Step 2: Convert to fraction form
    331,338/457,251.30 = 180,435/x
  3. Step 3: Cross multiply
    331,338x = 457,251.30 × 180,435
  4. Step 4: Simplify right side
    331,338x = 82,504,138,315.50
  5. Step 5: Solve for x
    x = 82,504,138,315.50/331,338
  6. Step 6: Final answer
    x = 249,002.95

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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.