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Finding the Fourth Proportional to 311,468.29, 428,898.92 and 288,861.73

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Solution

The fourth proportional to 311,468.29, 428,898.92 and 288,861.73 is: 397,769.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,468.29 : 428,898.92 = 288,861.73 : x
  2. Step 2: Convert to fraction form
    311,468.29/428,898.92 = 288,861.73/x
  3. Step 3: Cross multiply
    311,468.29x = 428,898.92 × 288,861.73
  4. Step 4: Simplify right side
    311,468.29x = 123,892,481,509.78
  5. Step 5: Solve for x
    x = 123,892,481,509.78/311,468.29
  6. Step 6: Final answer
    x = 397,769.17

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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.