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Finding the Fourth Proportional to 505,419.80, 757,778.52 and 189,791.96

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Solution

The fourth proportional to 505,419.80, 757,778.52 and 189,791.96 is: 284,556.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,419.80 : 757,778.52 = 189,791.96 : x
  2. Step 2: Convert to fraction form
    505,419.80/757,778.52 = 189,791.96/x
  3. Step 3: Cross multiply
    505,419.80x = 757,778.52 × 189,791.96
  4. Step 4: Simplify right side
    505,419.80x = 143,820,270,556.70
  5. Step 5: Solve for x
    x = 143,820,270,556.70/505,419.80
  6. Step 6: Final answer
    x = 284,556.07

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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.