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Finding the Fourth Proportional to 312,754.22, 431,640.79 and 174,940.80

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Solution

The fourth proportional to 312,754.22, 431,640.79 and 174,940.80 is: 241,440.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,754.22 : 431,640.79 = 174,940.80 : x
  2. Step 2: Convert to fraction form
    312,754.22/431,640.79 = 174,940.80/x
  3. Step 3: Cross multiply
    312,754.22x = 431,640.79 × 174,940.80
  4. Step 4: Simplify right side
    312,754.22x = 75,511,585,115.23
  5. Step 5: Solve for x
    x = 75,511,585,115.23/312,754.22
  6. Step 6: Final answer
    x = 241,440.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.