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Finding the Fourth Proportional to 287,530.49, 396,793.70 and 166,743.49

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Solution

The fourth proportional to 287,530.49, 396,793.70 and 166,743.49 is: 230,106.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,530.49 : 396,793.70 = 166,743.49 : x
  2. Step 2: Convert to fraction form
    287,530.49/396,793.70 = 166,743.49/x
  3. Step 3: Cross multiply
    287,530.49x = 396,793.70 × 166,743.49
  4. Step 4: Simplify right side
    287,530.49x = 66,162,763,530.33
  5. Step 5: Solve for x
    x = 66,162,763,530.33/287,530.49
  6. Step 6: Final answer
    x = 230,106.95

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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.