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Finding the Fourth Proportional to 311,689.23, 467,164.62 and 143,067.48

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Solution

The fourth proportional to 311,689.23, 467,164.62 and 143,067.48 is: 214,431.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,689.23 : 467,164.62 = 143,067.48 : x
  2. Step 2: Convert to fraction form
    311,689.23/467,164.62 = 143,067.48/x
  3. Step 3: Cross multiply
    311,689.23x = 467,164.62 × 143,067.48
  4. Step 4: Simplify right side
    311,689.23x = 66,836,064,928.56
  5. Step 5: Solve for x
    x = 66,836,064,928.56/311,689.23
  6. Step 6: Final answer
    x = 214,431.74

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1.5x scale

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.