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Finding the Fourth Proportional to 299,382,904.80, 449,074,357.20 and 218,761,336.80

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Solution

The fourth proportional to 299,382,904.80, 449,074,357.20 and 218,761,336.80 is: 328,142,005.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,382,904.80 : 449,074,357.20 = 218,761,336.80 : x
  2. Step 2: Convert to fraction form
    299,382,904.80/449,074,357.20 = 218,761,336.80/x
  3. Step 3: Cross multiply
    299,382,904.80x = 449,074,357.20 × 218,761,336.80
  4. Step 4: Simplify right side
    299,382,904.80x = 98,240,106,703,672,704
  5. Step 5: Solve for x
    x = 98,240,106,703,672,704/299,382,904.80
  6. Step 6: Final answer
    x = 328,142,005.20

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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.