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Finding the Fourth Proportional to 394,944, 545,022.72 and 216,096

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Solution

The fourth proportional to 394,944, 545,022.72 and 216,096 is: 298,212.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,944 : 545,022.72 = 216,096 : x
  2. Step 2: Convert to fraction form
    394,944/545,022.72 = 216,096/x
  3. Step 3: Cross multiply
    394,944x = 545,022.72 × 216,096
  4. Step 4: Simplify right side
    394,944x = 117,777,229,701.12
  5. Step 5: Solve for x
    x = 117,777,229,701.12/394,944
  6. Step 6: Final answer
    x = 298,212.48

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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.