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Finding the Fourth Proportional to 388,660, 582,990 and 108,184.54

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Solution

The fourth proportional to 388,660, 582,990 and 108,184.54 is: 162,276.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,660 : 582,990 = 108,184.54 : x
  2. Step 2: Convert to fraction form
    388,660/582,990 = 108,184.54/x
  3. Step 3: Cross multiply
    388,660x = 582,990 × 108,184.54
  4. Step 4: Simplify right side
    388,660x = 63,070,504,974.60
  5. Step 5: Solve for x
    x = 63,070,504,974.60/388,660
  6. Step 6: Final answer
    x = 162,276.81

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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.