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Finding the Fourth Proportional to 298,495.40, 447,743.10 and 198,330.80

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Solution

The fourth proportional to 298,495.40, 447,743.10 and 198,330.80 is: 297,496.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,495.40 : 447,743.10 = 198,330.80 : x
  2. Step 2: Convert to fraction form
    298,495.40/447,743.10 = 198,330.80/x
  3. Step 3: Cross multiply
    298,495.40x = 447,743.10 × 198,330.80
  4. Step 4: Simplify right side
    298,495.40x = 88,801,247,217.48
  5. Step 5: Solve for x
    x = 88,801,247,217.48/298,495.40
  6. Step 6: Final answer
    x = 297,496.20

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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.