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Finding the Fourth Proportional to 361,553.85, 498,949.34 and 198,225.71

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Solution

The fourth proportional to 361,553.85, 498,949.34 and 198,225.71 is: 273,554.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,553.85 : 498,949.34 = 198,225.71 : x
  2. Step 2: Convert to fraction form
    361,553.85/498,949.34 = 198,225.71/x
  3. Step 3: Cross multiply
    361,553.85x = 498,949.34 × 198,225.71
  4. Step 4: Simplify right side
    361,553.85x = 98,904,583,689.66
  5. Step 5: Solve for x
    x = 98,904,583,689.66/361,553.85
  6. Step 6: Final answer
    x = 273,554.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.