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Finding the Fourth Proportional to 298,198.58, 447,144.63 and 87,809.18

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Solution

The fourth proportional to 298,198.58, 447,144.63 and 87,809.18 is: 131,668.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,198.58 : 447,144.63 = 87,809.18 : x
  2. Step 2: Convert to fraction form
    298,198.58/447,144.63 = 87,809.18/x
  3. Step 3: Cross multiply
    298,198.58x = 447,144.63 × 87,809.18
  4. Step 4: Simplify right side
    298,198.58x = 39,263,401,065.98
  5. Step 5: Solve for x
    x = 39,263,401,065.98/298,198.58
  6. Step 6: Final answer
    x = 131,668.64

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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.