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Finding the Fourth Proportional to 231,907.38, 347,977.79 and 172,861.62

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Solution

The fourth proportional to 231,907.38, 347,977.79 and 172,861.62 is: 259,379.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,907.38 : 347,977.79 = 172,861.62 : x
  2. Step 2: Convert to fraction form
    231,907.38/347,977.79 = 172,861.62/x
  3. Step 3: Cross multiply
    231,907.38x = 347,977.79 × 172,861.62
  4. Step 4: Simplify right side
    231,907.38x = 60,152,004,503.42
  5. Step 5: Solve for x
    x = 60,152,004,503.42/231,907.38
  6. Step 6: Final answer
    x = 259,379.43

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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.