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Finding the Fourth Proportional to 408,542.40, 613,469.70 and 308,815.20

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Solution

The fourth proportional to 408,542.40, 613,469.70 and 308,815.20 is: 463,718.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,542.40 : 613,469.70 = 308,815.20 : x
  2. Step 2: Convert to fraction form
    408,542.40/613,469.70 = 308,815.20/x
  3. Step 3: Cross multiply
    408,542.40x = 613,469.70 × 308,815.20
  4. Step 4: Simplify right side
    408,542.40x = 189,448,768,099.44
  5. Step 5: Solve for x
    x = 189,448,768,099.44/408,542.40
  6. Step 6: Final answer
    x = 463,718.74

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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.