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Finding the Fourth Proportional to 309,067.60, 463,255.80 and 131,544.40

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Solution

The fourth proportional to 309,067.60, 463,255.80 and 131,544.40 is: 197,169.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,067.60 : 463,255.80 = 131,544.40 : x
  2. Step 2: Convert to fraction form
    309,067.60/463,255.80 = 131,544.40/x
  3. Step 3: Cross multiply
    309,067.60x = 463,255.80 × 131,544.40
  4. Step 4: Simplify right side
    309,067.60x = 60,938,706,257.52
  5. Step 5: Solve for x
    x = 60,938,706,257.52/309,067.60
  6. Step 6: Final answer
    x = 197,169.51

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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.