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Finding the Fourth Proportional to 652,481,245.44, 978,813,605.52 and 209,675,469.60

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Solution

The fourth proportional to 652,481,245.44, 978,813,605.52 and 209,675,469.60 is: 314,542,684.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,481,245.44 : 978,813,605.52 = 209,675,469.60 : x
  2. Step 2: Convert to fraction form
    652,481,245.44/978,813,605.52 = 209,675,469.60/x
  3. Step 3: Cross multiply
    652,481,245.44x = 978,813,605.52 × 209,675,469.60
  4. Step 4: Simplify right side
    652,481,245.44x = 205,233,202,388,275,136
  5. Step 5: Solve for x
    x = 205,233,202,388,275,136/652,481,245.44
  6. Step 6: Final answer
    x = 314,542,684.29

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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.