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Finding the Fourth Proportional to 198,699.60, 298,049.40 and 187,813.20

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Solution

The fourth proportional to 198,699.60, 298,049.40 and 187,813.20 is: 281,719.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,699.60 : 298,049.40 = 187,813.20 : x
  2. Step 2: Convert to fraction form
    198,699.60/298,049.40 = 187,813.20/x
  3. Step 3: Cross multiply
    198,699.60x = 298,049.40 × 187,813.20
  4. Step 4: Simplify right side
    198,699.60x = 55,977,611,572.08
  5. Step 5: Solve for x
    x = 55,977,611,572.08/198,699.60
  6. Step 6: Final answer
    x = 281,719.80

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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.