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Finding the Fourth Proportional to 381,754.62, 526,822.32 and 211,988.73

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Solution

The fourth proportional to 381,754.62, 526,822.32 and 211,988.73 is: 292,544.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,754.62 : 526,822.32 = 211,988.73 : x
  2. Step 2: Convert to fraction form
    381,754.62/526,822.32 = 211,988.73/x
  3. Step 3: Cross multiply
    381,754.62x = 526,822.32 × 211,988.73
  4. Step 4: Simplify right side
    381,754.62x = 111,680,394,552.45
  5. Step 5: Solve for x
    x = 111,680,394,552.45/381,754.62
  6. Step 6: Final answer
    x = 292,544.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.