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Finding the Fourth Proportional to 394,801.29, 544,824.20 and 213,513.41

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Solution

The fourth proportional to 394,801.29, 544,824.20 and 213,513.41 is: 294,647.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,801.29 : 544,824.20 = 213,513.41 : x
  2. Step 2: Convert to fraction form
    394,801.29/544,824.20 = 213,513.41/x
  3. Step 3: Cross multiply
    394,801.29x = 544,824.20 × 213,513.41
  4. Step 4: Simplify right side
    394,801.29x = 116,327,269,000.83
  5. Step 5: Solve for x
    x = 116,327,269,000.83/394,801.29
  6. Step 6: Final answer
    x = 294,647.64

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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.