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Finding the Fourth Proportional to 394,794.50, 544,818.04 and 213,506.42

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Solution

The fourth proportional to 394,794.50, 544,818.04 and 213,506.42 is: 294,639.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,794.50 : 544,818.04 = 213,506.42 : x
  2. Step 2: Convert to fraction form
    394,794.50/544,818.04 = 213,506.42/x
  3. Step 3: Cross multiply
    394,794.50x = 544,818.04 × 213,506.42
  4. Step 4: Simplify right side
    394,794.50x = 116,322,151,661.71
  5. Step 5: Solve for x
    x = 116,322,151,661.71/394,794.50
  6. Step 6: Final answer
    x = 294,639.75

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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.