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Finding the Fourth Proportional to 381,716.92, 526,785.42 and 211,966.84

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Solution

The fourth proportional to 381,716.92, 526,785.42 and 211,966.84 is: 292,523.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,716.92 : 526,785.42 = 211,966.84 : x
  2. Step 2: Convert to fraction form
    381,716.92/526,785.42 = 211,966.84/x
  3. Step 3: Cross multiply
    381,716.92x = 526,785.42 × 211,966.84
  4. Step 4: Simplify right side
    381,716.92x = 111,661,040,835.47
  5. Step 5: Solve for x
    x = 111,661,040,835.47/381,716.92
  6. Step 6: Final answer
    x = 292,523.16

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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.