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Finding the Fourth Proportional to 287,102.87, 396,214.95 and 166,249.43

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Solution

The fourth proportional to 287,102.87, 396,214.95 and 166,249.43 is: 229,431.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,102.87 : 396,214.95 = 166,249.43 : x
  2. Step 2: Convert to fraction form
    287,102.87/396,214.95 = 166,249.43/x
  3. Step 3: Cross multiply
    287,102.87x = 396,214.95 × 166,249.43
  4. Step 4: Simplify right side
    287,102.87x = 65,870,507,613.90
  5. Step 5: Solve for x
    x = 65,870,507,613.90/287,102.87
  6. Step 6: Final answer
    x = 229,431.73

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1.5x scale

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.