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Finding the Fourth Proportional to 408,826, 613,244.52 and 128,343.28

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Solution

The fourth proportional to 408,826, 613,244.52 and 128,343.28 is: 192,516.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,826 : 613,244.52 = 128,343.28 : x
  2. Step 2: Convert to fraction form
    408,826/613,244.52 = 128,343.28/x
  3. Step 3: Cross multiply
    408,826x = 613,244.52 × 128,343.28
  4. Step 4: Simplify right side
    408,826x = 78,705,813,138.83
  5. Step 5: Solve for x
    x = 78,705,813,138.83/408,826
  6. Step 6: Final answer
    x = 192,516.65

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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.