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Finding the Fourth Proportional to 394,940.53, 545,016.73 and 213,652.41

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Solution

The fourth proportional to 394,940.53, 545,016.73 and 213,652.41 is: 294,839.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,940.53 : 545,016.73 = 213,652.41 : x
  2. Step 2: Convert to fraction form
    394,940.53/545,016.73 = 213,652.41/x
  3. Step 3: Cross multiply
    394,940.53x = 545,016.73 × 213,652.41
  4. Step 4: Simplify right side
    394,940.53x = 116,444,137,854.82
  5. Step 5: Solve for x
    x = 116,444,137,854.82/394,940.53
  6. Step 6: Final answer
    x = 294,839.68

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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.