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Finding the Fourth Proportional to 198,992.40, 298,488.60 and 180,621.60

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Solution

The fourth proportional to 198,992.40, 298,488.60 and 180,621.60 is: 270,932.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,992.40 : 298,488.60 = 180,621.60 : x
  2. Step 2: Convert to fraction form
    198,992.40/298,488.60 = 180,621.60/x
  3. Step 3: Cross multiply
    198,992.40x = 298,488.60 × 180,621.60
  4. Step 4: Simplify right side
    198,992.40x = 53,913,488,513.76
  5. Step 5: Solve for x
    x = 53,913,488,513.76/198,992.40
  6. Step 6: Final answer
    x = 270,932.40

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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.