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Finding the Fourth Proportional to 285,867.60, 428,713.56 and 197,687.76

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Solution

The fourth proportional to 285,867.60, 428,713.56 and 197,687.76 is: 296,470.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,867.60 : 428,713.56 = 197,687.76 : x
  2. Step 2: Convert to fraction form
    285,867.60/428,713.56 = 197,687.76/x
  3. Step 3: Cross multiply
    285,867.60x = 428,713.56 × 197,687.76
  4. Step 4: Simplify right side
    285,867.60x = 84,751,423,358.03
  5. Step 5: Solve for x
    x = 84,751,423,358.03/285,867.60
  6. Step 6: Final answer
    x = 296,470.90

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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.