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Finding the Fourth Proportional to 325,633.44, 449,374.11 and 198,309

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Solution

The fourth proportional to 325,633.44, 449,374.11 and 198,309 is: 273,666.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,633.44 : 449,374.11 = 198,309 : x
  2. Step 2: Convert to fraction form
    325,633.44/449,374.11 = 198,309/x
  3. Step 3: Cross multiply
    325,633.44x = 449,374.11 × 198,309
  4. Step 4: Simplify right side
    325,633.44x = 89,114,930,379.99
  5. Step 5: Solve for x
    x = 89,114,930,379.99/325,633.44
  6. Step 6: Final answer
    x = 273,666.40

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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.