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Finding the Fourth Proportional to 208,250.35, 312,374.49 and 50,478.80

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Solution

The fourth proportional to 208,250.35, 312,374.49 and 50,478.80 is: 75,717.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,250.35 : 312,374.49 = 50,478.80 : x
  2. Step 2: Convert to fraction form
    208,250.35/312,374.49 = 50,478.80/x
  3. Step 3: Cross multiply
    208,250.35x = 312,374.49 × 50,478.80
  4. Step 4: Simplify right side
    208,250.35x = 15,768,290,186.75
  5. Step 5: Solve for x
    x = 15,768,290,186.75/208,250.35
  6. Step 6: Final answer
    x = 75,717.95

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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.