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Finding the Fourth Proportional to 299,382,906.30, 449,074,359.45 and 218,761,338.30

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Solution

The fourth proportional to 299,382,906.30, 449,074,359.45 and 218,761,338.30 is: 328,142,007.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,382,906.30 : 449,074,359.45 = 218,761,338.30 : x
  2. Step 2: Convert to fraction form
    299,382,906.30/449,074,359.45 = 218,761,338.30/x
  3. Step 3: Cross multiply
    299,382,906.30x = 449,074,359.45 × 218,761,338.30
  4. Step 4: Simplify right side
    299,382,906.30x = 98,240,107,869,497,248
  5. Step 5: Solve for x
    x = 98,240,107,869,497,248/299,382,906.30
  6. Step 6: Final answer
    x = 328,142,007.45

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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.