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Finding the Fourth Proportional to 408,842.20, 613,020.30 and 251,183.80

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Solution

The fourth proportional to 408,842.20, 613,020.30 and 251,183.80 is: 376,626.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,842.20 : 613,020.30 = 251,183.80 : x
  2. Step 2: Convert to fraction form
    408,842.20/613,020.30 = 251,183.80/x
  3. Step 3: Cross multiply
    408,842.20x = 613,020.30 × 251,183.80
  4. Step 4: Simplify right side
    408,842.20x = 153,980,768,431.14
  5. Step 5: Solve for x
    x = 153,980,768,431.14/408,842.20
  6. Step 6: Final answer
    x = 376,626.41

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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.