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Finding the Fourth Proportional to 643,791.10, 965,302.65 and 394,651.90

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Solution

The fourth proportional to 643,791.10, 965,302.65 and 394,651.90 is: 591,742.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,791.10 : 965,302.65 = 394,651.90 : x
  2. Step 2: Convert to fraction form
    643,791.10/965,302.65 = 394,651.90/x
  3. Step 3: Cross multiply
    643,791.10x = 965,302.65 × 394,651.90
  4. Step 4: Simplify right side
    643,791.10x = 380,958,524,897.54
  5. Step 5: Solve for x
    x = 380,958,524,897.54/643,791.10
  6. Step 6: Final answer
    x = 591,742.45

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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.