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Finding the Fourth Proportional to 311,974.60, 468,048.30 and 206,998.60

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Solution

The fourth proportional to 311,974.60, 468,048.30 and 206,998.60 is: 310,555.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,974.60 : 468,048.30 = 206,998.60 : x
  2. Step 2: Convert to fraction form
    311,974.60/468,048.30 = 206,998.60/x
  3. Step 3: Cross multiply
    311,974.60x = 468,048.30 × 206,998.60
  4. Step 4: Simplify right side
    311,974.60x = 96,885,342,832.38
  5. Step 5: Solve for x
    x = 96,885,342,832.38/311,974.60
  6. Step 6: Final answer
    x = 310,555.23

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1.5x scale

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.