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Finding the Fourth Proportional to 325,841.52, 449,653.92 and 189,867

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Solution

The fourth proportional to 325,841.52, 449,653.92 and 189,867 is: 262,012.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,841.52 : 449,653.92 = 189,867 : x
  2. Step 2: Convert to fraction form
    325,841.52/449,653.92 = 189,867/x
  3. Step 3: Cross multiply
    325,841.52x = 449,653.92 × 189,867
  4. Step 4: Simplify right side
    325,841.52x = 85,374,440,828.64
  5. Step 5: Solve for x
    x = 85,374,440,828.64/325,841.52
  6. Step 6: Final answer
    x = 262,012.16

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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.