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Finding the Fourth Proportional to 299,103.40, 449,346.30 and 205,791.40

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Solution

The fourth proportional to 299,103.40, 449,346.30 and 205,791.40 is: 309,162.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,103.40 : 449,346.30 = 205,791.40 : x
  2. Step 2: Convert to fraction form
    299,103.40/449,346.30 = 205,791.40/x
  3. Step 3: Cross multiply
    299,103.40x = 449,346.30 × 205,791.40
  4. Step 4: Simplify right side
    299,103.40x = 92,471,604,161.82
  5. Step 5: Solve for x
    x = 92,471,604,161.82/299,103.40
  6. Step 6: Final answer
    x = 309,162.66

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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.