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Finding the Fourth Proportional to 394,871.44, 544,922.64 and 213,583.42

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Solution

The fourth proportional to 394,871.44, 544,922.64 and 213,583.42 is: 294,745.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,871.44 : 544,922.64 = 213,583.42 : x
  2. Step 2: Convert to fraction form
    394,871.44/544,922.64 = 213,583.42/x
  3. Step 3: Cross multiply
    394,871.44x = 544,922.64 × 213,583.42
  4. Step 4: Simplify right side
    394,871.44x = 116,386,441,086.63
  5. Step 5: Solve for x
    x = 116,386,441,086.63/394,871.44
  6. Step 6: Final answer
    x = 294,745.15

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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.