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Finding the Fourth Proportional to 298,193.20, 447,136.57 and 87,803.80

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Solution

The fourth proportional to 298,193.20, 447,136.57 and 87,803.80 is: 131,660.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,193.20 : 447,136.57 = 87,803.80 : x
  2. Step 2: Convert to fraction form
    298,193.20/447,136.57 = 87,803.80/x
  3. Step 3: Cross multiply
    298,193.20x = 447,136.57 × 87,803.80
  4. Step 4: Simplify right side
    298,193.20x = 39,260,289,964.97
  5. Step 5: Solve for x
    x = 39,260,289,964.97/298,193.20
  6. Step 6: Final answer
    x = 131,660.58

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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.