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Finding the Fourth Proportional to 325,843.90, 449,646.06 and 189,899.98

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Solution

The fourth proportional to 325,843.90, 449,646.06 and 189,899.98 is: 262,051.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,843.90 : 449,646.06 = 189,899.98 : x
  2. Step 2: Convert to fraction form
    325,843.90/449,646.06 = 189,899.98/x
  3. Step 3: Cross multiply
    325,843.90x = 449,646.06 × 189,899.98
  4. Step 4: Simplify right side
    325,843.90x = 85,387,777,801.08
  5. Step 5: Solve for x
    x = 85,387,777,801.08/325,843.90
  6. Step 6: Final answer
    x = 262,051.18

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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.