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Finding the Fourth Proportional to 408,825.90, 613,348.20 and 290,727.90

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Solution

The fourth proportional to 408,825.90, 613,348.20 and 290,727.90 is: 436,169.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,825.90 : 613,348.20 = 290,727.90 : x
  2. Step 2: Convert to fraction form
    408,825.90/613,348.20 = 290,727.90/x
  3. Step 3: Cross multiply
    408,825.90x = 613,348.20 × 290,727.90
  4. Step 4: Simplify right side
    408,825.90x = 178,317,434,154.78
  5. Step 5: Solve for x
    x = 178,317,434,154.78/408,825.90
  6. Step 6: Final answer
    x = 436,169.61

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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.