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Finding the Fourth Proportional to 258,249.84, 387,491.61 and 131,824.80

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Solution

The fourth proportional to 258,249.84, 387,491.61 and 131,824.80 is: 197,796.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,249.84 : 387,491.61 = 131,824.80 : x
  2. Step 2: Convert to fraction form
    258,249.84/387,491.61 = 131,824.80/x
  3. Step 3: Cross multiply
    258,249.84x = 387,491.61 × 131,824.80
  4. Step 4: Simplify right side
    258,249.84x = 51,081,003,989.93
  5. Step 5: Solve for x
    x = 51,081,003,989.93/258,249.84
  6. Step 6: Final answer
    x = 197,796.85

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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.