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Finding the Fourth Proportional to 408,793.09, 613,215.57 and 128,321.41

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Solution

The fourth proportional to 408,793.09, 613,215.57 and 128,321.41 is: 192,490.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,793.09 : 613,215.57 = 128,321.41 : x
  2. Step 2: Convert to fraction form
    408,793.09/613,215.57 = 128,321.41/x
  3. Step 3: Cross multiply
    408,793.09x = 613,215.57 × 128,321.41
  4. Step 4: Simplify right side
    408,793.09x = 78,688,686,576.35
  5. Step 5: Solve for x
    x = 78,688,686,576.35/408,793.09
  6. Step 6: Final answer
    x = 192,490.26

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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.