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Finding the Fourth Proportional to 311,877.80, 468,047.10 and 206,661.80

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Solution

The fourth proportional to 311,877.80, 468,047.10 and 206,661.80 is: 310,145.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,877.80 : 468,047.10 = 206,661.80 : x
  2. Step 2: Convert to fraction form
    311,877.80/468,047.10 = 206,661.80/x
  3. Step 3: Cross multiply
    311,877.80x = 468,047.10 × 206,661.80
  4. Step 4: Simplify right side
    311,877.80x = 96,727,456,170.78
  5. Step 5: Solve for x
    x = 96,727,456,170.78/311,877.80
  6. Step 6: Final answer
    x = 310,145.37

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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.