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Finding the Fourth Proportional to 287,042.74, 396,167.55 and 166,257.57

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Solution

The fourth proportional to 287,042.74, 396,167.55 and 166,257.57 is: 229,463.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,042.74 : 396,167.55 = 166,257.57 : x
  2. Step 2: Convert to fraction form
    287,042.74/396,167.55 = 166,257.57/x
  3. Step 3: Cross multiply
    287,042.74x = 396,167.55 × 166,257.57
  4. Step 4: Simplify right side
    287,042.74x = 65,865,854,175.85
  5. Step 5: Solve for x
    x = 65,865,854,175.85/287,042.74
  6. Step 6: Final answer
    x = 229,463.58

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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.