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Finding the Fourth Proportional to 312,833.50, 431,707.66 and 169,589.86

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Solution

The fourth proportional to 312,833.50, 431,707.66 and 169,589.86 is: 234,032.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,833.50 : 431,707.66 = 169,589.86 : x
  2. Step 2: Convert to fraction form
    312,833.50/431,707.66 = 169,589.86/x
  3. Step 3: Cross multiply
    312,833.50x = 431,707.66 × 169,589.86
  4. Step 4: Simplify right side
    312,833.50x = 73,213,241,620.33
  5. Step 5: Solve for x
    x = 73,213,241,620.33/312,833.50
  6. Step 6: Final answer
    x = 234,032.61

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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.