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Finding the Fourth Proportional to 298,793.96, 412,504.42 and 198,329.32

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Solution

The fourth proportional to 298,793.96, 412,504.42 and 198,329.32 is: 273,806.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,793.96 : 412,504.42 = 198,329.32 : x
  2. Step 2: Convert to fraction form
    298,793.96/412,504.42 = 198,329.32/x
  3. Step 3: Cross multiply
    298,793.96x = 412,504.42 × 198,329.32
  4. Step 4: Simplify right side
    298,793.96x = 81,811,721,115.59
  5. Step 5: Solve for x
    x = 81,811,721,115.59/298,793.96
  6. Step 6: Final answer
    x = 273,806.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.