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Finding the Fourth Proportional to 285,869.60, 428,716.56 and 197,689.76

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Solution

The fourth proportional to 285,869.60, 428,716.56 and 197,689.76 is: 296,473.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,869.60 : 428,716.56 = 197,689.76 : x
  2. Step 2: Convert to fraction form
    285,869.60/428,716.56 = 197,689.76/x
  3. Step 3: Cross multiply
    285,869.60x = 428,716.56 × 197,689.76
  4. Step 4: Simplify right side
    285,869.60x = 84,752,873,854.43
  5. Step 5: Solve for x
    x = 84,752,873,854.43/285,869.60
  6. Step 6: Final answer
    x = 296,473.90

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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.