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Finding the Fourth Proportional to 378,861.76, 567,668 and 339,797.12

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Solution

The fourth proportional to 378,861.76, 567,668 and 339,797.12 is: 509,135.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,861.76 : 567,668 = 339,797.12 : x
  2. Step 2: Convert to fraction form
    378,861.76/567,668 = 339,797.12/x
  3. Step 3: Cross multiply
    378,861.76x = 567,668 × 339,797.12
  4. Step 4: Simplify right side
    378,861.76x = 192,891,951,516.16
  5. Step 5: Solve for x
    x = 192,891,951,516.16/378,861.76
  6. Step 6: Final answer
    x = 509,135.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.