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Finding the Fourth Proportional to 311,972.60, 468,045.30 and 206,996.60

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Solution

The fourth proportional to 311,972.60, 468,045.30 and 206,996.60 is: 310,552.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,972.60 : 468,045.30 = 206,996.60 : x
  2. Step 2: Convert to fraction form
    311,972.60/468,045.30 = 206,996.60/x
  3. Step 3: Cross multiply
    311,972.60x = 468,045.30 × 206,996.60
  4. Step 4: Simplify right side
    311,972.60x = 96,883,785,745.98
  5. Step 5: Solve for x
    x = 96,883,785,745.98/311,972.60
  6. Step 6: Final answer
    x = 310,552.23

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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.