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Finding the Fourth Proportional to 309,067.80, 463,380.30 and 119,365.80

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Solution

The fourth proportional to 309,067.80, 463,380.30 and 119,365.80 is: 178,963.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,067.80 : 463,380.30 = 119,365.80 : x
  2. Step 2: Convert to fraction form
    309,067.80/463,380.30 = 119,365.80/x
  3. Step 3: Cross multiply
    309,067.80x = 463,380.30 × 119,365.80
  4. Step 4: Simplify right side
    309,067.80x = 55,311,760,213.74
  5. Step 5: Solve for x
    x = 55,311,760,213.74/309,067.80
  6. Step 6: Final answer
    x = 178,963.19

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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.