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Finding the Fourth Proportional to 287,098.74, 396,209.25 and 166,245.30

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Solution

The fourth proportional to 287,098.74, 396,209.25 and 166,245.30 is: 229,426.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,098.74 : 396,209.25 = 166,245.30 : x
  2. Step 2: Convert to fraction form
    287,098.74/396,209.25 = 166,245.30/x
  3. Step 3: Cross multiply
    287,098.74x = 396,209.25 × 166,245.30
  4. Step 4: Simplify right side
    287,098.74x = 65,867,925,629.03
  5. Step 5: Solve for x
    x = 65,867,925,629.03/287,098.74
  6. Step 6: Final answer
    x = 229,426.04

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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.