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Finding the Fourth Proportional to 287,530.30, 396,793.44 and 166,743.30

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Solution

The fourth proportional to 287,530.30, 396,793.44 and 166,743.30 is: 230,106.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,530.30 : 396,793.44 = 166,743.30 : x
  2. Step 2: Convert to fraction form
    287,530.30/396,793.44 = 166,743.30/x
  3. Step 3: Cross multiply
    287,530.30x = 396,793.44 × 166,743.30
  4. Step 4: Simplify right side
    287,530.30x = 66,162,645,778.25
  5. Step 5: Solve for x
    x = 66,162,645,778.25/287,530.30
  6. Step 6: Final answer
    x = 230,106.69

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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.