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Finding the Fourth Proportional to 311,024.84, 428,821.92 and 203,424.44

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Solution

The fourth proportional to 311,024.84, 428,821.92 and 203,424.44 is: 280,469.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,024.84 : 428,821.92 = 203,424.44 : x
  2. Step 2: Convert to fraction form
    311,024.84/428,821.92 = 203,424.44/x
  3. Step 3: Cross multiply
    311,024.84x = 428,821.92 × 203,424.44
  4. Step 4: Simplify right side
    311,024.84x = 87,232,858,935.72
  5. Step 5: Solve for x
    x = 87,232,858,935.72/311,024.84
  6. Step 6: Final answer
    x = 280,469.11

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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.