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Finding the Fourth Proportional to 381,431.73, 526,392.18 and 211,665.86

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Solution

The fourth proportional to 381,431.73, 526,392.18 and 211,665.86 is: 292,107.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,431.73 : 526,392.18 = 211,665.86 : x
  2. Step 2: Convert to fraction form
    381,431.73/526,392.18 = 211,665.86/x
  3. Step 3: Cross multiply
    381,431.73x = 526,392.18 × 211,665.86
  4. Step 4: Simplify right side
    381,431.73x = 111,419,250,845.01
  5. Step 5: Solve for x
    x = 111,419,250,845.01/381,431.73
  6. Step 6: Final answer
    x = 292,107.98

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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.