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Finding the Fourth Proportional to 311,872.80, 468,039.60 and 206,656.80

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Solution

The fourth proportional to 311,872.80, 468,039.60 and 206,656.80 is: 310,137.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,872.80 : 468,039.60 = 206,656.80 : x
  2. Step 2: Convert to fraction form
    311,872.80/468,039.60 = 206,656.80/x
  3. Step 3: Cross multiply
    311,872.80x = 468,039.60 × 206,656.80
  4. Step 4: Simplify right side
    311,872.80x = 96,723,566,009.28
  5. Step 5: Solve for x
    x = 96,723,566,009.28/311,872.80
  6. Step 6: Final answer
    x = 310,137.87

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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.