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Finding the Fourth Proportional to 394,944.05, 545,021.16 and 213,655.56

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Solution

The fourth proportional to 394,944.05, 545,021.16 and 213,655.56 is: 294,843.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,944.05 : 545,021.16 = 213,655.56 : x
  2. Step 2: Convert to fraction form
    394,944.05/545,021.16 = 213,655.56/x
  3. Step 3: Cross multiply
    394,944.05x = 545,021.16 × 213,655.56
  4. Step 4: Simplify right side
    394,944.05x = 116,446,798,306.61
  5. Step 5: Solve for x
    x = 116,446,798,306.61/394,944.05
  6. Step 6: Final answer
    x = 294,843.78

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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.