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Finding the Fourth Proportional to 298,993.80, 447,615.90 and 199,266.60

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Solution

The fourth proportional to 298,993.80, 447,615.90 and 199,266.60 is: 298,316.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,993.80 : 447,615.90 = 199,266.60 : x
  2. Step 2: Convert to fraction form
    298,993.80/447,615.90 = 199,266.60/x
  3. Step 3: Cross multiply
    298,993.80x = 447,615.90 × 199,266.60
  4. Step 4: Simplify right side
    298,993.80x = 89,194,898,498.94
  5. Step 5: Solve for x
    x = 89,194,898,498.94/298,993.80
  6. Step 6: Final answer
    x = 298,316.88

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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.