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Finding the Fourth Proportional to 394,321.56, 544,164.03 and 213,033.42

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Solution

The fourth proportional to 394,321.56, 544,164.03 and 213,033.42 is: 293,986.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,321.56 : 544,164.03 = 213,033.42 : x
  2. Step 2: Convert to fraction form
    394,321.56/544,164.03 = 213,033.42/x
  3. Step 3: Cross multiply
    394,321.56x = 544,164.03 × 213,033.42
  4. Step 4: Simplify right side
    394,321.56x = 115,925,124,351.88
  5. Step 5: Solve for x
    x = 115,925,124,351.88/394,321.56
  6. Step 6: Final answer
    x = 293,986.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.