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Finding the Fourth Proportional to 394,954.56, 545,034.83 and 213,665.76

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Solution

The fourth proportional to 394,954.56, 545,034.83 and 213,665.76 is: 294,857.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,954.56 : 545,034.83 = 213,665.76 : x
  2. Step 2: Convert to fraction form
    394,954.56/545,034.83 = 213,665.76/x
  3. Step 3: Cross multiply
    394,954.56x = 545,034.83 × 213,665.76
  4. Step 4: Simplify right side
    394,954.56x = 116,455,280,110.09
  5. Step 5: Solve for x
    x = 116,455,280,110.09/394,954.56
  6. Step 6: Final answer
    x = 294,857.41

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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.