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Finding the Fourth Proportional to 198,530.70, 297,796.05 and 185,408.70

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Solution

The fourth proportional to 198,530.70, 297,796.05 and 185,408.70 is: 278,113.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,530.70 : 297,796.05 = 185,408.70 : x
  2. Step 2: Convert to fraction form
    198,530.70/297,796.05 = 185,408.70/x
  3. Step 3: Cross multiply
    198,530.70x = 297,796.05 × 185,408.70
  4. Step 4: Simplify right side
    198,530.70x = 55,213,978,495.64
  5. Step 5: Solve for x
    x = 55,213,978,495.64/198,530.70
  6. Step 6: Final answer
    x = 278,113.05

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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.