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Finding the Fourth Proportional to 198,494.40, 298,033.20 and 154,171.20

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Solution

The fourth proportional to 198,494.40, 298,033.20 and 154,171.20 is: 231,483.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,494.40 : 298,033.20 = 154,171.20 : x
  2. Step 2: Convert to fraction form
    198,494.40/298,033.20 = 154,171.20/x
  3. Step 3: Cross multiply
    198,494.40x = 298,033.20 × 154,171.20
  4. Step 4: Simplify right side
    198,494.40x = 45,948,136,083.84
  5. Step 5: Solve for x
    x = 45,948,136,083.84/198,494.40
  6. Step 6: Final answer
    x = 231,483.29

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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.