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Finding the Fourth Proportional to 311,768.66, 467,653.22 and 75,111.57

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Solution

The fourth proportional to 311,768.66, 467,653.22 and 75,111.57 is: 112,667.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,768.66 : 467,653.22 = 75,111.57 : x
  2. Step 2: Convert to fraction form
    311,768.66/467,653.22 = 75,111.57/x
  3. Step 3: Cross multiply
    311,768.66x = 467,653.22 × 75,111.57
  4. Step 4: Simplify right side
    311,768.66x = 35,126,167,194.20
  5. Step 5: Solve for x
    x = 35,126,167,194.20/311,768.66
  6. Step 6: Final answer
    x = 112,667.41

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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.