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Finding the Fourth Proportional to 311,892.96, 467,451.84 and 143,234.37

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Solution

The fourth proportional to 311,892.96, 467,451.84 and 143,234.37 is: 214,673.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,892.96 : 467,451.84 = 143,234.37 : x
  2. Step 2: Convert to fraction form
    311,892.96/467,451.84 = 143,234.37/x
  3. Step 3: Cross multiply
    311,892.96x = 467,451.84 × 143,234.37
  4. Step 4: Simplify right side
    311,892.96x = 66,955,169,807.74
  5. Step 5: Solve for x
    x = 66,955,169,807.74/311,892.96
  6. Step 6: Final answer
    x = 214,673.55

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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.