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Finding the Fourth Proportional to 394,830.10, 544,863.81 and 213,542.25

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Solution

The fourth proportional to 394,830.10, 544,863.81 and 213,542.25 is: 294,687.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,830.10 : 544,863.81 = 213,542.25 : x
  2. Step 2: Convert to fraction form
    394,830.10/544,863.81 = 213,542.25/x
  3. Step 3: Cross multiply
    394,830.10x = 544,863.81 × 213,542.25
  4. Step 4: Simplify right side
    394,830.10x = 116,351,441,206.65
  5. Step 5: Solve for x
    x = 116,351,441,206.65/394,830.10
  6. Step 6: Final answer
    x = 294,687.36

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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.