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Finding the Fourth Proportional to 279,711.56, 419,698.56 and 139,481.12

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Solution

The fourth proportional to 279,711.56, 419,698.56 and 139,481.12 is: 209,287.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,711.56 : 419,698.56 = 139,481.12 : x
  2. Step 2: Convert to fraction form
    279,711.56/419,698.56 = 139,481.12/x
  3. Step 3: Cross multiply
    279,711.56x = 419,698.56 × 139,481.12
  4. Step 4: Simplify right side
    279,711.56x = 58,540,025,211.19
  5. Step 5: Solve for x
    x = 58,540,025,211.19/279,711.56
  6. Step 6: Final answer
    x = 209,287.11

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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.