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Finding the Fourth Proportional to 496,099.11, 743,907.94 and 290,989.80

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Solution

The fourth proportional to 496,099.11, 743,907.94 and 290,989.80 is: 436,343.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,099.11 : 743,907.94 = 290,989.80 : x
  2. Step 2: Convert to fraction form
    496,099.11/743,907.94 = 290,989.80/x
  3. Step 3: Cross multiply
    496,099.11x = 743,907.94 × 290,989.80
  4. Step 4: Simplify right side
    496,099.11x = 216,469,622,679.01
  5. Step 5: Solve for x
    x = 216,469,622,679.01/496,099.11
  6. Step 6: Final answer
    x = 436,343.50

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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.