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Finding the Fourth Proportional to 408,496.88, 612,664.16 and 388,243.28

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Solution

The fourth proportional to 408,496.88, 612,664.16 and 388,243.28 is: 582,287.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,496.88 : 612,664.16 = 388,243.28 : x
  2. Step 2: Convert to fraction form
    408,496.88/612,664.16 = 388,243.28/x
  3. Step 3: Cross multiply
    408,496.88x = 612,664.16 × 388,243.28
  4. Step 4: Simplify right side
    408,496.88x = 237,862,743,016.85
  5. Step 5: Solve for x
    x = 237,862,743,016.85/408,496.88
  6. Step 6: Final answer
    x = 582,287.78

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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.