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Finding the Fourth Proportional to 279,287.16, 419,324.40 and 200,358.36

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Solution

The fourth proportional to 279,287.16, 419,324.40 and 200,358.36 is: 300,819.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,287.16 : 419,324.40 = 200,358.36 : x
  2. Step 2: Convert to fraction form
    279,287.16/419,324.40 = 200,358.36/x
  3. Step 3: Cross multiply
    279,287.16x = 419,324.40 × 200,358.36
  4. Step 4: Simplify right side
    279,287.16x = 84,015,149,091.98
  5. Step 5: Solve for x
    x = 84,015,149,091.98/279,287.16
  6. Step 6: Final answer
    x = 300,819.95

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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.