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Finding the Fourth Proportional to 312,619.96, 431,414.91 and 169,380.57

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Solution

The fourth proportional to 312,619.96, 431,414.91 and 169,380.57 is: 233,744.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,619.96 : 431,414.91 = 169,380.57 : x
  2. Step 2: Convert to fraction form
    312,619.96/431,414.91 = 169,380.57/x
  3. Step 3: Cross multiply
    312,619.96x = 431,414.91 × 169,380.57
  4. Step 4: Simplify right side
    312,619.96x = 73,073,302,553.40
  5. Step 5: Solve for x
    x = 73,073,302,553.40/312,619.96
  6. Step 6: Final answer
    x = 233,744.84

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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.