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Finding the Fourth Proportional to 312,773.86, 431,876.37 and 288,891.82

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Solution

The fourth proportional to 312,773.86, 431,876.37 and 288,891.82 is: 398,900.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,773.86 : 431,876.37 = 288,891.82 : x
  2. Step 2: Convert to fraction form
    312,773.86/431,876.37 = 288,891.82/x
  3. Step 3: Cross multiply
    312,773.86x = 431,876.37 × 288,891.82
  4. Step 4: Simplify right side
    312,773.86x = 124,765,550,544.29
  5. Step 5: Solve for x
    x = 124,765,550,544.29/312,773.86
  6. Step 6: Final answer
    x = 398,900.18

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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.