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Finding the Fourth Proportional to 287,171.85, 396,268.53 and 166,351.95

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Solution

The fourth proportional to 287,171.85, 396,268.53 and 166,351.95 is: 229,549.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,171.85 : 396,268.53 = 166,351.95 : x
  2. Step 2: Convert to fraction form
    287,171.85/396,268.53 = 166,351.95/x
  3. Step 3: Cross multiply
    287,171.85x = 396,268.53 × 166,351.95
  4. Step 4: Simplify right side
    287,171.85x = 65,920,042,689.13
  5. Step 5: Solve for x
    x = 65,920,042,689.13/287,171.85
  6. Step 6: Final answer
    x = 229,549.11

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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.