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Finding the Fourth Proportional to 312,441.96, 431,169.24 and 169,201.56

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Solution

The fourth proportional to 312,441.96, 431,169.24 and 169,201.56 is: 233,497.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,441.96 : 431,169.24 = 169,201.56 : x
  2. Step 2: Convert to fraction form
    312,441.96/431,169.24 = 169,201.56/x
  3. Step 3: Cross multiply
    312,441.96x = 431,169.24 × 169,201.56
  4. Step 4: Simplify right side
    312,441.96x = 72,954,505,876.17
  5. Step 5: Solve for x
    x = 72,954,505,876.17/312,441.96
  6. Step 6: Final answer
    x = 233,497.79

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1.5x scale

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.