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Finding the Fourth Proportional to 311,874.72, 430,394.94 and 191,082.60

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Solution

The fourth proportional to 311,874.72, 430,394.94 and 191,082.60 is: 263,698.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,874.72 : 430,394.94 = 191,082.60 : x
  2. Step 2: Convert to fraction form
    311,874.72/430,394.94 = 191,082.60/x
  3. Step 3: Cross multiply
    311,874.72x = 430,394.94 × 191,082.60
  4. Step 4: Simplify right side
    311,874.72x = 82,240,984,162.04
  5. Step 5: Solve for x
    x = 82,240,984,162.04/311,874.72
  6. Step 6: Final answer
    x = 263,698.78

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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.