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Finding the Fourth Proportional to 287,104.87, 396,217.71 and 166,251.43

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Solution

The fourth proportional to 287,104.87, 396,217.71 and 166,251.43 is: 229,434.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,104.87 : 396,217.71 = 166,251.43 : x
  2. Step 2: Convert to fraction form
    287,104.87/396,217.71 = 166,251.43/x
  3. Step 3: Cross multiply
    287,104.87x = 396,217.71 × 166,251.43
  4. Step 4: Simplify right side
    287,104.87x = 65,871,760,878.83
  5. Step 5: Solve for x
    x = 65,871,760,878.83/287,104.87
  6. Step 6: Final answer
    x = 229,434.50

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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.