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Finding the Fourth Proportional to 311,794.92, 430,345.89 and 202,709.43

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Solution

The fourth proportional to 311,794.92, 430,345.89 and 202,709.43 is: 279,783.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,794.92 : 430,345.89 = 202,709.43 : x
  2. Step 2: Convert to fraction form
    311,794.92/430,345.89 = 202,709.43/x
  3. Step 3: Cross multiply
    311,794.92x = 430,345.89 × 202,709.43
  4. Step 4: Simplify right side
    311,794.92x = 87,235,170,064.74
  5. Step 5: Solve for x
    x = 87,235,170,064.74/311,794.92
  6. Step 6: Final answer
    x = 279,783.81

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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.