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Finding the Fourth Proportional to 394,012.83, 591,019.68 and 109,704

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Solution

The fourth proportional to 394,012.83, 591,019.68 and 109,704 is: 164,556.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,012.83 : 591,019.68 = 109,704 : x
  2. Step 2: Convert to fraction form
    394,012.83/591,019.68 = 109,704/x
  3. Step 3: Cross multiply
    394,012.83x = 591,019.68 × 109,704
  4. Step 4: Simplify right side
    394,012.83x = 64,837,222,974.72
  5. Step 5: Solve for x
    x = 64,837,222,974.72/394,012.83
  6. Step 6: Final answer
    x = 164,556.12

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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.