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Finding the Fourth Proportional to 299,138.10, 448,415.55 and 267,645.30

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Solution

The fourth proportional to 299,138.10, 448,415.55 and 267,645.30 is: 401,207.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,138.10 : 448,415.55 = 267,645.30 : x
  2. Step 2: Convert to fraction form
    299,138.10/448,415.55 = 267,645.30/x
  3. Step 3: Cross multiply
    299,138.10x = 448,415.55 × 267,645.30
  4. Step 4: Simplify right side
    299,138.10x = 120,016,314,404.42
  5. Step 5: Solve for x
    x = 120,016,314,404.42/299,138.10
  6. Step 6: Final answer
    x = 401,207.05

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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.