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Finding the Fourth Proportional to 394,488.27, 544,396.31 and 213,199.77

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Solution

The fourth proportional to 394,488.27, 544,396.31 and 213,199.77 is: 294,217.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,488.27 : 544,396.31 = 213,199.77 : x
  2. Step 2: Convert to fraction form
    394,488.27/544,396.31 = 213,199.77/x
  3. Step 3: Cross multiply
    394,488.27x = 544,396.31 × 213,199.77
  4. Step 4: Simplify right side
    394,488.27x = 116,065,169,855.84
  5. Step 5: Solve for x
    x = 116,065,169,855.84/394,488.27
  6. Step 6: Final answer
    x = 294,217.04

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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.