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Finding the Fourth Proportional to 312,743.12, 431,770.44 and 205,500.88

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Solution

The fourth proportional to 312,743.12, 431,770.44 and 205,500.88 is: 283,712.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,743.12 : 431,770.44 = 205,500.88 : x
  2. Step 2: Convert to fraction form
    312,743.12/431,770.44 = 205,500.88/x
  3. Step 3: Cross multiply
    312,743.12x = 431,770.44 × 205,500.88
  4. Step 4: Simplify right side
    312,743.12x = 88,729,205,377.99
  5. Step 5: Solve for x
    x = 88,729,205,377.99/312,743.12
  6. Step 6: Final answer
    x = 283,712.73

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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.