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Finding the Fourth Proportional to 279,972.92, 419,662.30 and 137,617.44

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Solution

The fourth proportional to 279,972.92, 419,662.30 and 137,617.44 is: 206,280.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,972.92 : 419,662.30 = 137,617.44 : x
  2. Step 2: Convert to fraction form
    279,972.92/419,662.30 = 137,617.44/x
  3. Step 3: Cross multiply
    279,972.92x = 419,662.30 × 137,617.44
  4. Step 4: Simplify right side
    279,972.92x = 57,752,851,390.51
  5. Step 5: Solve for x
    x = 57,752,851,390.51/279,972.92
  6. Step 6: Final answer
    x = 206,280.13

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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.