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Finding the Fourth Proportional to 285,380.30, 428,098.77 and 105,512.84

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Solution

The fourth proportional to 285,380.30, 428,098.77 and 105,512.84 is: 158,279.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,380.30 : 428,098.77 = 105,512.84 : x
  2. Step 2: Convert to fraction form
    285,380.30/428,098.77 = 105,512.84/x
  3. Step 3: Cross multiply
    285,380.30x = 428,098.77 × 105,512.84
  4. Step 4: Simplify right side
    285,380.30x = 45,169,917,023.21
  5. Step 5: Solve for x
    x = 45,169,917,023.21/285,380.30
  6. Step 6: Final answer
    x = 158,279.73

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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.