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Finding the Fourth Proportional to 287,398.34, 396,609.44 and 166,609.56

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Solution

The fourth proportional to 287,398.34, 396,609.44 and 166,609.56 is: 229,921.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,398.34 : 396,609.44 = 166,609.56 : x
  2. Step 2: Convert to fraction form
    287,398.34/396,609.44 = 166,609.56/x
  3. Step 3: Cross multiply
    287,398.34x = 396,609.44 × 166,609.56
  4. Step 4: Simplify right side
    287,398.34x = 66,078,924,290.25
  5. Step 5: Solve for x
    x = 66,078,924,290.25/287,398.34
  6. Step 6: Final answer
    x = 229,921.04

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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.