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Finding the Fourth Proportional to 408,794.58, 613,316.28 and 209,255.04

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Solution

The fourth proportional to 408,794.58, 613,316.28 and 209,255.04 is: 313,946.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,794.58 : 613,316.28 = 209,255.04 : x
  2. Step 2: Convert to fraction form
    408,794.58/613,316.28 = 209,255.04/x
  3. Step 3: Cross multiply
    408,794.58x = 613,316.28 × 209,255.04
  4. Step 4: Simplify right side
    408,794.58x = 128,339,522,704.05
  5. Step 5: Solve for x
    x = 128,339,522,704.05/408,794.58
  6. Step 6: Final answer
    x = 313,946.24

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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.