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Finding the Fourth Proportional to 311,714.84, 429,879.43 and 196,793.79

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Solution

The fourth proportional to 311,714.84, 429,879.43 and 196,793.79 is: 271,394.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,714.84 : 429,879.43 = 196,793.79 : x
  2. Step 2: Convert to fraction form
    311,714.84/429,879.43 = 196,793.79/x
  3. Step 3: Cross multiply
    311,714.84x = 429,879.43 × 196,793.79
  4. Step 4: Simplify right side
    311,714.84x = 84,597,603,980.31
  5. Step 5: Solve for x
    x = 84,597,603,980.31/311,714.84
  6. Step 6: Final answer
    x = 271,394.21

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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.