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Finding the Fourth Proportional to 311,711.56, 430,160.90 and 168,471.16

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Solution

The fourth proportional to 311,711.56, 430,160.90 and 168,471.16 is: 232,489.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,711.56 : 430,160.90 = 168,471.16 : x
  2. Step 2: Convert to fraction form
    311,711.56/430,160.90 = 168,471.16/x
  3. Step 3: Cross multiply
    311,711.56x = 430,160.90 × 168,471.16
  4. Step 4: Simplify right side
    311,711.56x = 72,469,705,809.64
  5. Step 5: Solve for x
    x = 72,469,705,809.64/311,711.56
  6. Step 6: Final answer
    x = 232,489.63

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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.