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Finding the Fourth Proportional to 208,286.70, 312,430.05 and 50,514.90

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Solution

The fourth proportional to 208,286.70, 312,430.05 and 50,514.90 is: 75,772.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,286.70 : 312,430.05 = 50,514.90 : x
  2. Step 2: Convert to fraction form
    208,286.70/312,430.05 = 50,514.90/x
  3. Step 3: Cross multiply
    208,286.70x = 312,430.05 × 50,514.90
  4. Step 4: Simplify right side
    208,286.70x = 15,782,372,732.75
  5. Step 5: Solve for x
    x = 15,782,372,732.75/208,286.70
  6. Step 6: Final answer
    x = 75,772.35

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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.