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Finding the Fourth Proportional to 287,559.97, 396,834.34 and 166,772.87

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Solution

The fourth proportional to 287,559.97, 396,834.34 and 166,772.87 is: 230,147.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,559.97 : 396,834.34 = 166,772.87 : x
  2. Step 2: Convert to fraction form
    287,559.97/396,834.34 = 166,772.87/x
  3. Step 3: Cross multiply
    287,559.97x = 396,834.34 × 166,772.87
  4. Step 4: Simplify right side
    287,559.97x = 66,181,203,428.27
  5. Step 5: Solve for x
    x = 66,181,203,428.27/287,559.97
  6. Step 6: Final answer
    x = 230,147.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.