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Finding the Fourth Proportional to 208,249.92, 312,374.88 and 50,478.38

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Solution

The fourth proportional to 208,249.92, 312,374.88 and 50,478.38 is: 75,717.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,249.92 : 312,374.88 = 50,478.38 : x
  2. Step 2: Convert to fraction form
    208,249.92/312,374.88 = 50,478.38/x
  3. Step 3: Cross multiply
    208,249.92x = 312,374.88 × 50,478.38
  4. Step 4: Simplify right side
    208,249.92x = 15,768,177,895.09
  5. Step 5: Solve for x
    x = 15,768,177,895.09/208,249.92
  6. Step 6: Final answer
    x = 75,717.57

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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.