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Finding the Fourth Proportional to 198,794.88, 298,184.16 and 80,467.20

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Solution

The fourth proportional to 198,794.88, 298,184.16 and 80,467.20 is: 120,697.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,794.88 : 298,184.16 = 80,467.20 : x
  2. Step 2: Convert to fraction form
    198,794.88/298,184.16 = 80,467.20/x
  3. Step 3: Cross multiply
    198,794.88x = 298,184.16 × 80,467.20
  4. Step 4: Simplify right side
    198,794.88x = 23,994,044,439.55
  5. Step 5: Solve for x
    x = 23,994,044,439.55/198,794.88
  6. Step 6: Final answer
    x = 120,697.50

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1.5x scale

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.