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Finding the Fourth Proportional to 347,197.50, 479,135.43 and 188,221.50

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Solution

The fourth proportional to 347,197.50, 479,135.43 and 188,221.50 is: 259,747.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,197.50 : 479,135.43 = 188,221.50 : x
  2. Step 2: Convert to fraction form
    347,197.50/479,135.43 = 188,221.50/x
  3. Step 3: Cross multiply
    347,197.50x = 479,135.43 × 188,221.50
  4. Step 4: Simplify right side
    347,197.50x = 90,183,589,337.75
  5. Step 5: Solve for x
    x = 90,183,589,337.75/347,197.50
  6. Step 6: Final answer
    x = 259,747.23

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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.