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Finding the Fourth Proportional to 325,877.25, 449,709.54 and 189,991.65

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Solution

The fourth proportional to 325,877.25, 449,709.54 and 189,991.65 is: 262,187.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,877.25 : 449,709.54 = 189,991.65 : x
  2. Step 2: Convert to fraction form
    325,877.25/449,709.54 = 189,991.65/x
  3. Step 3: Cross multiply
    325,877.25x = 449,709.54 × 189,991.65
  4. Step 4: Simplify right side
    325,877.25x = 85,441,057,525.34
  5. Step 5: Solve for x
    x = 85,441,057,525.34/325,877.25
  6. Step 6: Final answer
    x = 262,187.86

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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.