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Finding the Fourth Proportional to 198,298.32, 297,742.64 and 80,200.32

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Solution

The fourth proportional to 198,298.32, 297,742.64 and 80,200.32 is: 120,419.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,298.32 : 297,742.64 = 80,200.32 : x
  2. Step 2: Convert to fraction form
    198,298.32/297,742.64 = 80,200.32/x
  3. Step 3: Cross multiply
    198,298.32x = 297,742.64 × 80,200.32
  4. Step 4: Simplify right side
    198,298.32x = 23,879,055,005.64
  5. Step 5: Solve for x
    x = 23,879,055,005.64/198,298.32
  6. Step 6: Final answer
    x = 120,419.86

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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.