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Finding the Fourth Proportional to 270,212.64, 405,318.15 and 189,920.04

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Solution

The fourth proportional to 270,212.64, 405,318.15 and 189,920.04 is: 284,879.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,212.64 : 405,318.15 = 189,920.04 : x
  2. Step 2: Convert to fraction form
    270,212.64/405,318.15 = 189,920.04/x
  3. Step 3: Cross multiply
    270,212.64x = 405,318.15 × 189,920.04
  4. Step 4: Simplify right side
    270,212.64x = 76,978,039,260.73
  5. Step 5: Solve for x
    x = 76,978,039,260.73/270,212.64
  6. Step 6: Final answer
    x = 284,879.49

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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.