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Finding the Fourth Proportional to 494,426.80, 741,640.20 and 420,943.60

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Solution

The fourth proportional to 494,426.80, 741,640.20 and 420,943.60 is: 631,415.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,426.80 : 741,640.20 = 420,943.60 : x
  2. Step 2: Convert to fraction form
    494,426.80/741,640.20 = 420,943.60/x
  3. Step 3: Cross multiply
    494,426.80x = 741,640.20 × 420,943.60
  4. Step 4: Simplify right side
    494,426.80x = 312,188,695,692.72
  5. Step 5: Solve for x
    x = 312,188,695,692.72/494,426.80
  6. Step 6: Final answer
    x = 631,415.40

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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.