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Finding the Fourth Proportional to 408,550.40, 613,481.70 and 308,823.20

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Solution

The fourth proportional to 408,550.40, 613,481.70 and 308,823.20 is: 463,730.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,550.40 : 613,481.70 = 308,823.20 : x
  2. Step 2: Convert to fraction form
    408,550.40/613,481.70 = 308,823.20/x
  3. Step 3: Cross multiply
    408,550.40x = 613,481.70 × 308,823.20
  4. Step 4: Simplify right side
    408,550.40x = 189,457,381,735.44
  5. Step 5: Solve for x
    x = 189,457,381,735.44/408,550.40
  6. Step 6: Final answer
    x = 463,730.75

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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.