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Finding the Fourth Proportional to 408,889.70, 613,091.55 and 251,231.30

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Solution

The fourth proportional to 408,889.70, 613,091.55 and 251,231.30 is: 376,697.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,889.70 : 613,091.55 = 251,231.30 : x
  2. Step 2: Convert to fraction form
    408,889.70/613,091.55 = 251,231.30/x
  3. Step 3: Cross multiply
    408,889.70x = 613,091.55 × 251,231.30
  4. Step 4: Simplify right side
    408,889.70x = 154,027,787,125.52
  5. Step 5: Solve for x
    x = 154,027,787,125.52/408,889.70
  6. Step 6: Final answer
    x = 376,697.65

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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.