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Finding the Fourth Proportional to 381,997.81, 527,173.39 and 212,231.94

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Solution

The fourth proportional to 381,997.81, 527,173.39 and 212,231.94 is: 292,889.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,997.81 : 527,173.39 = 212,231.94 : x
  2. Step 2: Convert to fraction form
    381,997.81/527,173.39 = 212,231.94/x
  3. Step 3: Cross multiply
    381,997.81x = 527,173.39 × 212,231.94
  4. Step 4: Simplify right side
    381,997.81x = 111,883,028,896.98
  5. Step 5: Solve for x
    x = 111,883,028,896.98/381,997.81
  6. Step 6: Final answer
    x = 292,889.19

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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.