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Finding the Fourth Proportional to 311,880.72, 430,397.82 and 172,183.66

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Solution

The fourth proportional to 311,880.72, 430,397.82 and 172,183.66 is: 237,614.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,880.72 : 430,397.82 = 172,183.66 : x
  2. Step 2: Convert to fraction form
    311,880.72/430,397.82 = 172,183.66/x
  3. Step 3: Cross multiply
    311,880.72x = 430,397.82 × 172,183.66
  4. Step 4: Simplify right side
    311,880.72x = 74,107,471,903.62
  5. Step 5: Solve for x
    x = 74,107,471,903.62/311,880.72
  6. Step 6: Final answer
    x = 237,614.79

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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.