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Finding the Fourth Proportional to 449,489.40, 674,234.10 and 405,252.60

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Solution

The fourth proportional to 449,489.40, 674,234.10 and 405,252.60 is: 607,878.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,489.40 : 674,234.10 = 405,252.60 : x
  2. Step 2: Convert to fraction form
    449,489.40/674,234.10 = 405,252.60/x
  3. Step 3: Cross multiply
    449,489.40x = 674,234.10 × 405,252.60
  4. Step 4: Simplify right side
    449,489.40x = 273,235,122,033.66
  5. Step 5: Solve for x
    x = 273,235,122,033.66/449,489.40
  6. Step 6: Final answer
    x = 607,878.90

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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.