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Finding the Fourth Proportional to 381,439.96, 526,382.22 and 211,670.44

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Solution

The fourth proportional to 381,439.96, 526,382.22 and 211,670.44 is: 292,102.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,439.96 : 526,382.22 = 211,670.44 : x
  2. Step 2: Convert to fraction form
    381,439.96/526,382.22 = 211,670.44/x
  3. Step 3: Cross multiply
    381,439.96x = 526,382.22 × 211,670.44
  4. Step 4: Simplify right side
    381,439.96x = 111,419,556,115.58
  5. Step 5: Solve for x
    x = 111,419,556,115.58/381,439.96
  6. Step 6: Final answer
    x = 292,102.47

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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.