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Finding the Fourth Proportional to 494,702.10, 741,178.35 and 419,469.30

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Solution

The fourth proportional to 494,702.10, 741,178.35 and 419,469.30 is: 628,462.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,702.10 : 741,178.35 = 419,469.30 : x
  2. Step 2: Convert to fraction form
    494,702.10/741,178.35 = 419,469.30/x
  3. Step 3: Cross multiply
    494,702.10x = 741,178.35 × 419,469.30
  4. Step 4: Simplify right side
    494,702.10x = 310,901,563,649.66
  5. Step 5: Solve for x
    x = 310,901,563,649.66/494,702.10
  6. Step 6: Final answer
    x = 628,462.19

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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.