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Finding the Fourth Proportional to 279,686.92, 419,896.25 and 166,042.19

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Solution

The fourth proportional to 279,686.92, 419,896.25 and 166,042.19 is: 249,280.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,686.92 : 419,896.25 = 166,042.19 : x
  2. Step 2: Convert to fraction form
    279,686.92/419,896.25 = 166,042.19/x
  3. Step 3: Cross multiply
    279,686.92x = 419,896.25 × 166,042.19
  4. Step 4: Simplify right side
    279,686.92x = 69,720,493,142.32
  5. Step 5: Solve for x
    x = 69,720,493,142.32/279,686.92
  6. Step 6: Final answer
    x = 249,280.49

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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.