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Finding the Fourth Proportional to 279,969.92, 419,657.80 and 137,614.44

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Solution

The fourth proportional to 279,969.92, 419,657.80 and 137,614.44 is: 206,275.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,969.92 : 419,657.80 = 137,614.44 : x
  2. Step 2: Convert to fraction form
    279,969.92/419,657.80 = 137,614.44/x
  3. Step 3: Cross multiply
    279,969.92x = 419,657.80 × 137,614.44
  4. Step 4: Simplify right side
    279,969.92x = 57,750,973,138.63
  5. Step 5: Solve for x
    x = 57,750,973,138.63/279,969.92
  6. Step 6: Final answer
    x = 206,275.64

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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.