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Finding the Fourth Proportional to 285,991.56, 428,464.49 and 133,909.61

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Solution

The fourth proportional to 285,991.56, 428,464.49 and 133,909.61 is: 200,619.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,991.56 : 428,464.49 = 133,909.61 : x
  2. Step 2: Convert to fraction form
    285,991.56/428,464.49 = 133,909.61/x
  3. Step 3: Cross multiply
    285,991.56x = 428,464.49 × 133,909.61
  4. Step 4: Simplify right side
    285,991.56x = 57,375,509,942.88
  5. Step 5: Solve for x
    x = 57,375,509,942.88/285,991.56
  6. Step 6: Final answer
    x = 200,619.59

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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.