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Finding the Fourth Proportional to 299,382,816.80, 449,074,225.20 and 276,987,936.80

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Solution

The fourth proportional to 299,382,816.80, 449,074,225.20 and 276,987,936.80 is: 415,481,905.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,382,816.80 : 449,074,225.20 = 276,987,936.80 : x
  2. Step 2: Convert to fraction form
    299,382,816.80/449,074,225.20 = 276,987,936.80/x
  3. Step 3: Cross multiply
    299,382,816.80x = 449,074,225.20 × 276,987,936.80
  4. Step 4: Simplify right side
    299,382,816.80x = 124,388,143,108,206,576
  5. Step 5: Solve for x
    x = 124,388,143,108,206,576/299,382,816.80
  6. Step 6: Final answer
    x = 415,481,905.20

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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.