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Finding the Fourth Proportional to 331,625.12, 457,642.68 and 180,722

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Solution

The fourth proportional to 331,625.12, 457,642.68 and 180,722 is: 249,396.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,625.12 : 457,642.68 = 180,722 : x
  2. Step 2: Convert to fraction form
    331,625.12/457,642.68 = 180,722/x
  3. Step 3: Cross multiply
    331,625.12x = 457,642.68 × 180,722
  4. Step 4: Simplify right side
    331,625.12x = 82,706,100,414.96
  5. Step 5: Solve for x
    x = 82,706,100,414.96/331,625.12
  6. Step 6: Final answer
    x = 249,396.37

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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.