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Finding the Fourth Proportional to 198,690, 298,035.72 and 188,723.76

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Solution

The fourth proportional to 198,690, 298,035.72 and 188,723.76 is: 283,086.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,690 : 298,035.72 = 188,723.76 : x
  2. Step 2: Convert to fraction form
    198,690/298,035.72 = 188,723.76/x
  3. Step 3: Cross multiply
    198,690x = 298,035.72 × 188,723.76
  4. Step 4: Simplify right side
    198,690x = 56,246,421,692.71
  5. Step 5: Solve for x
    x = 56,246,421,692.71/198,690
  6. Step 6: Final answer
    x = 283,086.32

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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.