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Finding the Fourth Proportional to 299,067.40, 448,787.84 and 199,297.60

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Solution

The fourth proportional to 299,067.40, 448,787.84 and 199,297.60 is: 299,070.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,067.40 : 448,787.84 = 199,297.60 : x
  2. Step 2: Convert to fraction form
    299,067.40/448,787.84 = 199,297.60/x
  3. Step 3: Cross multiply
    299,067.40x = 448,787.84 × 199,297.60
  4. Step 4: Simplify right side
    299,067.40x = 89,442,339,421.18
  5. Step 5: Solve for x
    x = 89,442,339,421.18/299,067.40
  6. Step 6: Final answer
    x = 299,070.84

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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.