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Finding the Fourth Proportional to 494,659.80, 741,989.70 and 120,682.80

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Solution

The fourth proportional to 494,659.80, 741,989.70 and 120,682.80 is: 181,024.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,659.80 : 741,989.70 = 120,682.80 : x
  2. Step 2: Convert to fraction form
    494,659.80/741,989.70 = 120,682.80/x
  3. Step 3: Cross multiply
    494,659.80x = 741,989.70 × 120,682.80
  4. Step 4: Simplify right side
    494,659.80x = 89,545,394,567.16
  5. Step 5: Solve for x
    x = 89,545,394,567.16/494,659.80
  6. Step 6: Final answer
    x = 181,024.20

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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.