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Finding the Fourth Proportional to 408,133.20, 612,286.20 and 123,800.40

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Solution

The fourth proportional to 408,133.20, 612,286.20 and 123,800.40 is: 185,726.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,133.20 : 612,286.20 = 123,800.40 : x
  2. Step 2: Convert to fraction form
    408,133.20/612,286.20 = 123,800.40/x
  3. Step 3: Cross multiply
    408,133.20x = 612,286.20 × 123,800.40
  4. Step 4: Simplify right side
    408,133.20x = 75,801,276,474.48
  5. Step 5: Solve for x
    x = 75,801,276,474.48/408,133.20
  6. Step 6: Final answer
    x = 185,726.81

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1.5x scale

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.