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Finding the Fourth Proportional to 309,500.44, 427,296.90 and 202,249.96

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Solution

The fourth proportional to 309,500.44, 427,296.90 and 202,249.96 is: 279,226.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,500.44 : 427,296.90 = 202,249.96 : x
  2. Step 2: Convert to fraction form
    309,500.44/427,296.90 = 202,249.96/x
  3. Step 3: Cross multiply
    309,500.44x = 427,296.90 × 202,249.96
  4. Step 4: Simplify right side
    309,500.44x = 86,420,780,933.12
  5. Step 5: Solve for x
    x = 86,420,780,933.12/309,500.44
  6. Step 6: Final answer
    x = 279,226.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.