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Finding the Fourth Proportional to 361,442.67, 498,786.90 and 198,100.50

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Solution

The fourth proportional to 361,442.67, 498,786.90 and 198,100.50 is: 273,376.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,442.67 : 498,786.90 = 198,100.50 : x
  2. Step 2: Convert to fraction form
    361,442.67/498,786.90 = 198,100.50/x
  3. Step 3: Cross multiply
    361,442.67x = 498,786.90 × 198,100.50
  4. Step 4: Simplify right side
    361,442.67x = 98,809,934,283.45
  5. Step 5: Solve for x
    x = 98,809,934,283.45/361,442.67
  6. Step 6: Final answer
    x = 273,376.51

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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.