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Finding the Fourth Proportional to 311,717.32, 429,882.89 and 196,796.31

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Solution

The fourth proportional to 311,717.32, 429,882.89 and 196,796.31 is: 271,397.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,717.32 : 429,882.89 = 196,796.31 : x
  2. Step 2: Convert to fraction form
    311,717.32/429,882.89 = 196,796.31/x
  3. Step 3: Cross multiply
    311,717.32x = 429,882.89 × 196,796.31
  4. Step 4: Simplify right side
    311,717.32x = 84,599,366,484.14
  5. Step 5: Solve for x
    x = 84,599,366,484.14/311,717.32
  6. Step 6: Final answer
    x = 271,397.71

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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.