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Finding the Fourth Proportional to 311,971.60, 468,043.80 and 206,995.60

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Solution

The fourth proportional to 311,971.60, 468,043.80 and 206,995.60 is: 310,550.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,971.60 : 468,043.80 = 206,995.60 : x
  2. Step 2: Convert to fraction form
    311,971.60/468,043.80 = 206,995.60/x
  3. Step 3: Cross multiply
    311,971.60x = 468,043.80 × 206,995.60
  4. Step 4: Simplify right side
    311,971.60x = 96,883,007,207.28
  5. Step 5: Solve for x
    x = 96,883,007,207.28/311,971.60
  6. Step 6: Final answer
    x = 310,550.73

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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.