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Finding the Fourth Proportional to 299,133.60, 448,408.80 and 267,640.80

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Solution

The fourth proportional to 299,133.60, 448,408.80 and 267,640.80 is: 401,200.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,133.60 : 448,408.80 = 267,640.80 : x
  2. Step 2: Convert to fraction form
    299,133.60/448,408.80 = 267,640.80/x
  3. Step 3: Cross multiply
    299,133.60x = 448,408.80 × 267,640.80
  4. Step 4: Simplify right side
    299,133.60x = 120,012,489,959.04
  5. Step 5: Solve for x
    x = 120,012,489,959.04/299,133.60
  6. Step 6: Final answer
    x = 401,200.30

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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.