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Finding the Fourth Proportional to 311,958.29, 467,918.96 and 87,313.74

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Solution

The fourth proportional to 311,958.29, 467,918.96 and 87,313.74 is: 130,965.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,958.29 : 467,918.96 = 87,313.74 : x
  2. Step 2: Convert to fraction form
    311,958.29/467,918.96 = 87,313.74/x
  3. Step 3: Cross multiply
    311,958.29x = 467,918.96 × 87,313.74
  4. Step 4: Simplify right side
    311,958.29x = 40,855,753,977.94
  5. Step 5: Solve for x
    x = 40,855,753,977.94/311,958.29
  6. Step 6: Final answer
    x = 130,965.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.