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Finding the Fourth Proportional to 381,384.70, 526,310.97 and 211,618.83

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Solution

The fourth proportional to 381,384.70, 526,310.97 and 211,618.83 is: 292,034.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,384.70 : 526,310.97 = 211,618.83 : x
  2. Step 2: Convert to fraction form
    381,384.70/526,310.97 = 211,618.83/x
  3. Step 3: Cross multiply
    381,384.70x = 526,310.97 × 211,618.83
  4. Step 4: Simplify right side
    381,384.70x = 111,377,309,907.16
  5. Step 5: Solve for x
    x = 111,377,309,907.16/381,384.70
  6. Step 6: Final answer
    x = 292,034.02

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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.