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Finding the Fourth Proportional to 408,963.88, 613,449.70 and 255,136.60

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Solution

The fourth proportional to 408,963.88, 613,449.70 and 255,136.60 is: 382,707.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,963.88 : 613,449.70 = 255,136.60 : x
  2. Step 2: Convert to fraction form
    408,963.88/613,449.70 = 255,136.60/x
  3. Step 3: Cross multiply
    408,963.88x = 613,449.70 × 255,136.60
  4. Step 4: Simplify right side
    408,963.88x = 156,513,470,729.02
  5. Step 5: Solve for x
    x = 156,513,470,729.02/408,963.88
  6. Step 6: Final answer
    x = 382,707.32

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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.