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Finding the Fourth Proportional to 295,856.75, 408,282.32 and 161,720.75

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Solution

The fourth proportional to 295,856.75, 408,282.32 and 161,720.75 is: 223,174.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,856.75 : 408,282.32 = 161,720.75 : x
  2. Step 2: Convert to fraction form
    295,856.75/408,282.32 = 161,720.75/x
  3. Step 3: Cross multiply
    295,856.75x = 408,282.32 × 161,720.75
  4. Step 4: Simplify right side
    295,856.75x = 66,027,723,002.14
  5. Step 5: Solve for x
    x = 66,027,723,002.14/295,856.75
  6. Step 6: Final answer
    x = 223,174.64

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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.