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Finding the Fourth Proportional to 492,206.85, 738,351.97 and 137,221.22

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Solution

The fourth proportional to 492,206.85, 738,351.97 and 137,221.22 is: 205,843.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,206.85 : 738,351.97 = 137,221.22 : x
  2. Step 2: Convert to fraction form
    492,206.85/738,351.97 = 137,221.22/x
  3. Step 3: Cross multiply
    492,206.85x = 738,351.97 × 137,221.22
  4. Step 4: Simplify right side
    492,206.85x = 101,317,558,112.80
  5. Step 5: Solve for x
    x = 101,317,558,112.80/492,206.85
  6. Step 6: Final answer
    x = 205,843.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.