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Finding the Fourth Proportional to 199,498.41, 298,909.31 and 120,446.60

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Solution

The fourth proportional to 199,498.41, 298,909.31 and 120,446.60 is: 180,465.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,498.41 : 298,909.31 = 120,446.60 : x
  2. Step 2: Convert to fraction form
    199,498.41/298,909.31 = 120,446.60/x
  3. Step 3: Cross multiply
    199,498.41x = 298,909.31 × 120,446.60
  4. Step 4: Simplify right side
    199,498.41x = 36,002,608,001.07
  5. Step 5: Solve for x
    x = 36,002,608,001.07/199,498.41
  6. Step 6: Final answer
    x = 180,465.64

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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.