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Finding the Fourth Proportional to 325,840.52, 449,652.54 and 189,866

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Solution

The fourth proportional to 325,840.52, 449,652.54 and 189,866 is: 262,010.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,840.52 : 449,652.54 = 189,866 : x
  2. Step 2: Convert to fraction form
    325,840.52/449,652.54 = 189,866/x
  3. Step 3: Cross multiply
    325,840.52x = 449,652.54 × 189,866
  4. Step 4: Simplify right side
    325,840.52x = 85,373,729,159.64
  5. Step 5: Solve for x
    x = 85,373,729,159.64/325,840.52
  6. Step 6: Final answer
    x = 262,010.78

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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.