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Finding the Fourth Proportional to 274,079.70, 411,119.55 and 198,846.90

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Solution

The fourth proportional to 274,079.70, 411,119.55 and 198,846.90 is: 298,270.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,079.70 : 411,119.55 = 198,846.90 : x
  2. Step 2: Convert to fraction form
    274,079.70/411,119.55 = 198,846.90/x
  3. Step 3: Cross multiply
    274,079.70x = 411,119.55 × 198,846.90
  4. Step 4: Simplify right side
    274,079.70x = 81,749,848,046.90
  5. Step 5: Solve for x
    x = 81,749,848,046.90/274,079.70
  6. Step 6: Final answer
    x = 298,270.35

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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.