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Finding the Fourth Proportional to 283,992.20, 391,880.49 and 167,687.54

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Solution

The fourth proportional to 283,992.20, 391,880.49 and 167,687.54 is: 231,391.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,992.20 : 391,880.49 = 167,687.54 : x
  2. Step 2: Convert to fraction form
    283,992.20/391,880.49 = 167,687.54/x
  3. Step 3: Cross multiply
    283,992.20x = 391,880.49 × 167,687.54
  4. Step 4: Simplify right side
    283,992.20x = 65,713,475,342.09
  5. Step 5: Solve for x
    x = 65,713,475,342.09/283,992.20
  6. Step 6: Final answer
    x = 231,391.83

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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.