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Finding the Fourth Proportional to 442,755.86, 664,067.57 and 122,874

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Solution

The fourth proportional to 442,755.86, 664,067.57 and 122,874 is: 184,292.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,755.86 : 664,067.57 = 122,874 : x
  2. Step 2: Convert to fraction form
    442,755.86/664,067.57 = 122,874/x
  3. Step 3: Cross multiply
    442,755.86x = 664,067.57 × 122,874
  4. Step 4: Simplify right side
    442,755.86x = 81,596,637,981.81
  5. Step 5: Solve for x
    x = 81,596,637,981.81/442,755.86
  6. Step 6: Final answer
    x = 184,292.62

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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.