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Finding the Fourth Proportional to 311,773.20, 467,003.70 and 259,285.20

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Solution

The fourth proportional to 311,773.20, 467,003.70 and 259,285.20 is: 388,382.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,773.20 : 467,003.70 = 259,285.20 : x
  2. Step 2: Convert to fraction form
    311,773.20/467,003.70 = 259,285.20/x
  3. Step 3: Cross multiply
    311,773.20x = 467,003.70 × 259,285.20
  4. Step 4: Simplify right side
    311,773.20x = 121,087,147,755.24
  5. Step 5: Solve for x
    x = 121,087,147,755.24/311,773.20
  6. Step 6: Final answer
    x = 388,382.16

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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.