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Finding the Fourth Proportional to 312,435.86, 431,160.62 and 169,195.86

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Solution

The fourth proportional to 312,435.86, 431,160.62 and 169,195.86 is: 233,489.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,435.86 : 431,160.62 = 169,195.86 : x
  2. Step 2: Convert to fraction form
    312,435.86/431,160.62 = 169,195.86/x
  3. Step 3: Cross multiply
    312,435.86x = 431,160.62 × 169,195.86
  4. Step 4: Simplify right side
    312,435.86x = 72,950,591,053.05
  5. Step 5: Solve for x
    x = 72,950,591,053.05/312,435.86
  6. Step 6: Final answer
    x = 233,489.82

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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.