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Finding the Fourth Proportional to 279,735.97, 419,969.82 and 166,091.23

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Solution

The fourth proportional to 279,735.97, 419,969.82 and 166,091.23 is: 249,354.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,735.97 : 419,969.82 = 166,091.23 : x
  2. Step 2: Convert to fraction form
    279,735.97/419,969.82 = 166,091.23/x
  3. Step 3: Cross multiply
    279,735.97x = 419,969.82 × 166,091.23
  4. Step 4: Simplify right side
    279,735.97x = 69,753,303,966.68
  5. Step 5: Solve for x
    x = 69,753,303,966.68/279,735.97
  6. Step 6: Final answer
    x = 249,354.07

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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.