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Finding the Fourth Proportional to 381,658.89, 526,668.71 and 211,882.08

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Solution

The fourth proportional to 381,658.89, 526,668.71 and 211,882.08 is: 292,385.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,658.89 : 526,668.71 = 211,882.08 : x
  2. Step 2: Convert to fraction form
    381,658.89/526,668.71 = 211,882.08/x
  3. Step 3: Cross multiply
    381,658.89x = 526,668.71 × 211,882.08
  4. Step 4: Simplify right side
    381,658.89x = 111,591,660,294.72
  5. Step 5: Solve for x
    x = 111,591,660,294.72/381,658.89
  6. Step 6: Final answer
    x = 292,385.85

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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.