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Finding the Fourth Proportional to 394,963.74, 545,049.19 and 213,675.81

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Solution

The fourth proportional to 394,963.74, 545,049.19 and 213,675.81 is: 294,872.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,963.74 : 545,049.19 = 213,675.81 : x
  2. Step 2: Convert to fraction form
    394,963.74/545,049.19 = 213,675.81/x
  3. Step 3: Cross multiply
    394,963.74x = 545,049.19 × 213,675.81
  4. Step 4: Simplify right side
    394,963.74x = 116,463,827,163.09
  5. Step 5: Solve for x
    x = 116,463,827,163.09/394,963.74
  6. Step 6: Final answer
    x = 294,872.20

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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.