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Finding the Fourth Proportional to 412,382.44, 618,811.74 and 222,843.40

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Solution

The fourth proportional to 412,382.44, 618,811.74 and 222,843.40 is: 334,393.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,382.44 : 618,811.74 = 222,843.40 : x
  2. Step 2: Convert to fraction form
    412,382.44/618,811.74 = 222,843.40/x
  3. Step 3: Cross multiply
    412,382.44x = 618,811.74 × 222,843.40
  4. Step 4: Simplify right side
    412,382.44x = 137,898,112,101.52
  5. Step 5: Solve for x
    x = 137,898,112,101.52/412,382.44
  6. Step 6: Final answer
    x = 334,393.75

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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.