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Finding the Fourth Proportional to 198,354.92, 298,047.60 and 185,396.60

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Solution

The fourth proportional to 198,354.92, 298,047.60 and 185,396.60 is: 278,576.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,354.92 : 298,047.60 = 185,396.60 : x
  2. Step 2: Convert to fraction form
    198,354.92/298,047.60 = 185,396.60/x
  3. Step 3: Cross multiply
    198,354.92x = 298,047.60 × 185,396.60
  4. Step 4: Simplify right side
    198,354.92x = 55,257,011,678.16
  5. Step 5: Solve for x
    x = 55,257,011,678.16/198,354.92
  6. Step 6: Final answer
    x = 278,576.46

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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.