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Finding the Fourth Proportional to 494,446.40, 741,151.20 and 194,811.20

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Solution

The fourth proportional to 494,446.40, 741,151.20 and 194,811.20 is: 292,012.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,446.40 : 741,151.20 = 194,811.20 : x
  2. Step 2: Convert to fraction form
    494,446.40/741,151.20 = 194,811.20/x
  3. Step 3: Cross multiply
    494,446.40x = 741,151.20 × 194,811.20
  4. Step 4: Simplify right side
    494,446.40x = 144,384,554,653.44
  5. Step 5: Solve for x
    x = 144,384,554,653.44/494,446.40
  6. Step 6: Final answer
    x = 292,012.55

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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.