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Finding the Fourth Proportional to 408,288.20, 612,392.70 and 123,981.21

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Solution

The fourth proportional to 408,288.20, 612,392.70 and 123,981.21 is: 185,959.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,288.20 : 612,392.70 = 123,981.21 : x
  2. Step 2: Convert to fraction form
    408,288.20/612,392.70 = 123,981.21/x
  3. Step 3: Cross multiply
    408,288.20x = 612,392.70 × 123,981.21
  4. Step 4: Simplify right side
    408,288.20x = 75,925,187,941.17
  5. Step 5: Solve for x
    x = 75,925,187,941.17/408,288.20
  6. Step 6: Final answer
    x = 185,959.79

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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.