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Finding the Fourth Proportional to 361,604.28, 498,999.42 and 198,257.34

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Solution

The fourth proportional to 361,604.28, 498,999.42 and 198,257.34 is: 273,587.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,604.28 : 498,999.42 = 198,257.34 : x
  2. Step 2: Convert to fraction form
    361,604.28/498,999.42 = 198,257.34/x
  3. Step 3: Cross multiply
    361,604.28x = 498,999.42 × 198,257.34
  4. Step 4: Simplify right side
    361,604.28x = 98,930,297,670.74
  5. Step 5: Solve for x
    x = 98,930,297,670.74/361,604.28
  6. Step 6: Final answer
    x = 273,587.19

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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.