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Finding the Fourth Proportional to 408,662.57, 613,047.41 and 135,017.86

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Solution

The fourth proportional to 408,662.57, 613,047.41 and 135,017.86 is: 202,544.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,662.57 : 613,047.41 = 135,017.86 : x
  2. Step 2: Convert to fraction form
    408,662.57/613,047.41 = 135,017.86/x
  3. Step 3: Cross multiply
    408,662.57x = 613,047.41 × 135,017.86
  4. Step 4: Simplify right side
    408,662.57x = 82,772,347,169.03
  5. Step 5: Solve for x
    x = 82,772,347,169.03/408,662.57
  6. Step 6: Final answer
    x = 202,544.48

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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.