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Finding the Fourth Proportional to 312,734.41, 431,575.62 and 169,496.85

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Solution

The fourth proportional to 312,734.41, 431,575.62 and 169,496.85 is: 233,906.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,734.41 : 431,575.62 = 169,496.85 : x
  2. Step 2: Convert to fraction form
    312,734.41/431,575.62 = 169,496.85/x
  3. Step 3: Cross multiply
    312,734.41x = 431,575.62 × 169,496.85
  4. Step 4: Simplify right side
    312,734.41x = 73,150,708,126.80
  5. Step 5: Solve for x
    x = 73,150,708,126.80/312,734.41
  6. Step 6: Final answer
    x = 233,906.81

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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.