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Finding the Fourth Proportional to 494,315.40, 741,429.90 and 161,891.40

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Solution

The fourth proportional to 494,315.40, 741,429.90 and 161,891.40 is: 242,822.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,315.40 : 741,429.90 = 161,891.40 : x
  2. Step 2: Convert to fraction form
    494,315.40/741,429.90 = 161,891.40/x
  3. Step 3: Cross multiply
    494,315.40x = 741,429.90 × 161,891.40
  4. Step 4: Simplify right side
    494,315.40x = 120,031,124,512.86
  5. Step 5: Solve for x
    x = 120,031,124,512.86/494,315.40
  6. Step 6: Final answer
    x = 242,822.95

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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.