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Finding the Fourth Proportional to 300,134.85, 414,170.62 and 164,142.33

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Solution

The fourth proportional to 300,134.85, 414,170.62 and 164,142.33 is: 226,507.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,134.85 : 414,170.62 = 164,142.33 : x
  2. Step 2: Convert to fraction form
    300,134.85/414,170.62 = 164,142.33/x
  3. Step 3: Cross multiply
    300,134.85x = 414,170.62 × 164,142.33
  4. Step 4: Simplify right side
    300,134.85x = 67,982,930,584.34
  5. Step 5: Solve for x
    x = 67,982,930,584.34/300,134.85
  6. Step 6: Final answer
    x = 226,507.95

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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.