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Finding the Fourth Proportional to 287,122.52, 396,251.93 and 166,265.91

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Solution

The fourth proportional to 287,122.52, 396,251.93 and 166,265.91 is: 229,460.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,122.52 : 396,251.93 = 166,265.91 : x
  2. Step 2: Convert to fraction form
    287,122.52/396,251.93 = 166,265.91/x
  3. Step 3: Cross multiply
    287,122.52x = 396,251.93 × 166,265.91
  4. Step 4: Simplify right side
    287,122.52x = 65,883,188,146.37
  5. Step 5: Solve for x
    x = 65,883,188,146.37/287,122.52
  6. Step 6: Final answer
    x = 229,460.19

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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.