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Finding the Fourth Proportional to 494,675.60, 741,138.60 and 419,442.80

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Solution

The fourth proportional to 494,675.60, 741,138.60 and 419,442.80 is: 628,422.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,675.60 : 741,138.60 = 419,442.80 : x
  2. Step 2: Convert to fraction form
    494,675.60/741,138.60 = 419,442.80/x
  3. Step 3: Cross multiply
    494,675.60x = 741,138.60 × 419,442.80
  4. Step 4: Simplify right side
    494,675.60x = 310,865,249,572.08
  5. Step 5: Solve for x
    x = 310,865,249,572.08/494,675.60
  6. Step 6: Final answer
    x = 628,422.44

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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.