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Finding the Fourth Proportional to 408,936.66, 613,358.07 and 109,440.57

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Solution

The fourth proportional to 408,936.66, 613,358.07 and 109,440.57 is: 164,148.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,936.66 : 613,358.07 = 109,440.57 : x
  2. Step 2: Convert to fraction form
    408,936.66/613,358.07 = 109,440.57/x
  3. Step 3: Cross multiply
    408,936.66x = 613,358.07 × 109,440.57
  4. Step 4: Simplify right side
    408,936.66x = 67,126,256,794.90
  5. Step 5: Solve for x
    x = 67,126,256,794.90/408,936.66
  6. Step 6: Final answer
    x = 164,148.30

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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.