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Finding the Fourth Proportional to 494,414.40, 741,621.60 and 405,840.90

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Solution

The fourth proportional to 494,414.40, 741,621.60 and 405,840.90 is: 608,761.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,414.40 : 741,621.60 = 405,840.90 : x
  2. Step 2: Convert to fraction form
    494,414.40/741,621.60 = 405,840.90/x
  3. Step 3: Cross multiply
    494,414.40x = 741,621.60 × 405,840.90
  4. Step 4: Simplify right side
    494,414.40x = 300,980,377,603.44
  5. Step 5: Solve for x
    x = 300,980,377,603.44/494,414.40
  6. Step 6: Final answer
    x = 608,761.35

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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.