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Finding the Fourth Proportional to 312,441.71, 431,168.90 and 169,201.31

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Solution

The fourth proportional to 312,441.71, 431,168.90 and 169,201.31 is: 233,497.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,441.71 : 431,168.90 = 169,201.31 : x
  2. Step 2: Convert to fraction form
    312,441.71/431,168.90 = 169,201.31/x
  3. Step 3: Cross multiply
    312,441.71x = 431,168.90 × 169,201.31
  4. Step 4: Simplify right side
    312,441.71x = 72,954,339,709.41
  5. Step 5: Solve for x
    x = 72,954,339,709.41/312,441.71
  6. Step 6: Final answer
    x = 233,497.44

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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.