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Finding the Fourth Proportional to 170,438.80, 255,286.41 and 140,520.64

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Solution

The fourth proportional to 170,438.80, 255,286.41 and 140,520.64 is: 210,474.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,438.80 : 255,286.41 = 140,520.64 : x
  2. Step 2: Convert to fraction form
    170,438.80/255,286.41 = 140,520.64/x
  3. Step 3: Cross multiply
    170,438.80x = 255,286.41 × 140,520.64
  4. Step 4: Simplify right side
    170,438.80x = 35,873,009,716.50
  5. Step 5: Solve for x
    x = 35,873,009,716.50/170,438.80
  6. Step 6: Final answer
    x = 210,474.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.