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Finding the Fourth Proportional to 367,137.91, 550,864.74 and 198,778.55

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Solution

The fourth proportional to 367,137.91, 550,864.74 and 198,778.55 is: 298,253.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,137.91 : 550,864.74 = 198,778.55 : x
  2. Step 2: Convert to fraction form
    367,137.91/550,864.74 = 198,778.55/x
  3. Step 3: Cross multiply
    367,137.91x = 550,864.74 × 198,778.55
  4. Step 4: Simplify right side
    367,137.91x = 109,500,090,515.11
  5. Step 5: Solve for x
    x = 109,500,090,515.11/367,137.91
  6. Step 6: Final answer
    x = 298,253.29

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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.