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Finding the Fourth Proportional to 298,176.56, 447,110.40 and 87,786.80

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Solution

The fourth proportional to 298,176.56, 447,110.40 and 87,786.80 is: 131,634.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,176.56 : 447,110.40 = 87,786.80 : x
  2. Step 2: Convert to fraction form
    298,176.56/447,110.40 = 87,786.80/x
  3. Step 3: Cross multiply
    298,176.56x = 447,110.40 × 87,786.80
  4. Step 4: Simplify right side
    298,176.56x = 39,250,391,262.72
  5. Step 5: Solve for x
    x = 39,250,391,262.72/298,176.56
  6. Step 6: Final answer
    x = 131,634.73

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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.