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Finding the Fourth Proportional to 312,352.56, 431,046.81 and 169,112.70

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Solution

The fourth proportional to 312,352.56, 431,046.81 and 169,112.70 is: 233,375.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,352.56 : 431,046.81 = 169,112.70 : x
  2. Step 2: Convert to fraction form
    312,352.56/431,046.81 = 169,112.70/x
  3. Step 3: Cross multiply
    312,352.56x = 431,046.81 × 169,112.70
  4. Step 4: Simplify right side
    312,352.56x = 72,895,489,865.49
  5. Step 5: Solve for x
    x = 72,895,489,865.49/312,352.56
  6. Step 6: Final answer
    x = 233,375.68

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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.