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Finding the Fourth Proportional to 381,896.52, 527,039.90 and 212,129.44

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Solution

The fourth proportional to 381,896.52, 527,039.90 and 212,129.44 is: 292,751.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,896.52 : 527,039.90 = 212,129.44 : x
  2. Step 2: Convert to fraction form
    381,896.52/527,039.90 = 212,129.44/x
  3. Step 3: Cross multiply
    381,896.52x = 527,039.90 × 212,129.44
  4. Step 4: Simplify right side
    381,896.52x = 111,800,678,844.66
  5. Step 5: Solve for x
    x = 111,800,678,844.66/381,896.52
  6. Step 6: Final answer
    x = 292,751.24

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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.