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Finding the Fourth Proportional to 381,896.82, 527,034.29 and 212,130.94

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Solution

The fourth proportional to 381,896.82, 527,034.29 and 212,130.94 is: 292,749.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,896.82 : 527,034.29 = 212,130.94 : x
  2. Step 2: Convert to fraction form
    381,896.82/527,034.29 = 212,130.94/x
  3. Step 3: Cross multiply
    381,896.82x = 527,034.29 × 212,130.94
  4. Step 4: Simplify right side
    381,896.82x = 111,800,279,349.93
  5. Step 5: Solve for x
    x = 111,800,279,349.93/381,896.82
  6. Step 6: Final answer
    x = 292,749.96

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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.