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Finding the Fourth Proportional to 378,901.89, 522,871.56 and 225,861.17

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Solution

The fourth proportional to 378,901.89, 522,871.56 and 225,861.17 is: 311,680.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,901.89 : 522,871.56 = 225,861.17 : x
  2. Step 2: Convert to fraction form
    378,901.89/522,871.56 = 225,861.17/x
  3. Step 3: Cross multiply
    378,901.89x = 522,871.56 × 225,861.17
  4. Step 4: Simplify right side
    378,901.89x = 118,096,379,686.97
  5. Step 5: Solve for x
    x = 118,096,379,686.97/378,901.89
  6. Step 6: Final answer
    x = 311,680.63

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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.