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Finding the Fourth Proportional to 394,813.50, 544,842.66 and 215,965.50

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Solution

The fourth proportional to 394,813.50, 544,842.66 and 215,965.50 is: 298,032.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,813.50 : 544,842.66 = 215,965.50 : x
  2. Step 2: Convert to fraction form
    394,813.50/544,842.66 = 215,965.50/x
  3. Step 3: Cross multiply
    394,813.50x = 544,842.66 × 215,965.50
  4. Step 4: Simplify right side
    394,813.50x = 117,667,217,488.23
  5. Step 5: Solve for x
    x = 117,667,217,488.23/394,813.50
  6. Step 6: Final answer
    x = 298,032.41

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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.