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Finding the Fourth Proportional to 394,796.94, 544,821.42 and 213,508.87

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Solution

The fourth proportional to 394,796.94, 544,821.42 and 213,508.87 is: 294,643.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,796.94 : 544,821.42 = 213,508.87 : x
  2. Step 2: Convert to fraction form
    394,796.94/544,821.42 = 213,508.87/x
  3. Step 3: Cross multiply
    394,796.94x = 544,821.42 × 213,508.87
  4. Step 4: Simplify right side
    394,796.94x = 116,324,204,905.43
  5. Step 5: Solve for x
    x = 116,324,204,905.43/394,796.94
  6. Step 6: Final answer
    x = 294,643.12

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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.