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Finding the Fourth Proportional to 311,589.38, 467,462.93 and 86,949.79

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Solution

The fourth proportional to 311,589.38, 467,462.93 and 86,949.79 is: 130,446.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,589.38 : 467,462.93 = 86,949.79 : x
  2. Step 2: Convert to fraction form
    311,589.38/467,462.93 = 86,949.79/x
  3. Step 3: Cross multiply
    311,589.38x = 467,462.93 × 86,949.79
  4. Step 4: Simplify right side
    311,589.38x = 40,645,801,992.88
  5. Step 5: Solve for x
    x = 40,645,801,992.88/311,589.38
  6. Step 6: Final answer
    x = 130,446.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.