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Finding the Fourth Proportional to 491,907.53, 737,861.30 and 281,397.85

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Solution

The fourth proportional to 491,907.53, 737,861.30 and 281,397.85 is: 422,096.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,907.53 : 737,861.30 = 281,397.85 : x
  2. Step 2: Convert to fraction form
    491,907.53/737,861.30 = 281,397.85/x
  3. Step 3: Cross multiply
    491,907.53x = 737,861.30 × 281,397.85
  4. Step 4: Simplify right side
    491,907.53x = 207,632,583,418.21
  5. Step 5: Solve for x
    x = 207,632,583,418.21/491,907.53
  6. Step 6: Final answer
    x = 422,096.78

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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.