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Finding the Fourth Proportional to 287,818.96, 431,789.88 and 100,841.68

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Solution

The fourth proportional to 287,818.96, 431,789.88 and 100,841.68 is: 151,284.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,818.96 : 431,789.88 = 100,841.68 : x
  2. Step 2: Convert to fraction form
    287,818.96/431,789.88 = 100,841.68/x
  3. Step 3: Cross multiply
    287,818.96x = 431,789.88 × 100,841.68
  4. Step 4: Simplify right side
    287,818.96x = 43,542,416,906.20
  5. Step 5: Solve for x
    x = 43,542,416,906.20/287,818.96
  6. Step 6: Final answer
    x = 151,284.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.