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Finding the Fourth Proportional to 270,589.85, 405,887.49 and 120,837.72

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Solution

The fourth proportional to 270,589.85, 405,887.49 and 120,837.72 is: 181,257.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,589.85 : 405,887.49 = 120,837.72 : x
  2. Step 2: Convert to fraction form
    270,589.85/405,887.49 = 120,837.72/x
  3. Step 3: Cross multiply
    270,589.85x = 405,887.49 × 120,837.72
  4. Step 4: Simplify right side
    270,589.85x = 49,046,518,868.12
  5. Step 5: Solve for x
    x = 49,046,518,868.12/270,589.85
  6. Step 6: Final answer
    x = 181,257.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.