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Finding the Fourth Proportional to 198,783.60, 298,338.60 and 197,228.40

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Solution

The fourth proportional to 198,783.60, 298,338.60 and 197,228.40 is: 296,004.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,783.60 : 298,338.60 = 197,228.40 : x
  2. Step 2: Convert to fraction form
    198,783.60/298,338.60 = 197,228.40/x
  3. Step 3: Cross multiply
    198,783.60x = 298,338.60 × 197,228.40
  4. Step 4: Simplify right side
    198,783.60x = 58,840,844,736.24
  5. Step 5: Solve for x
    x = 58,840,844,736.24/198,783.60
  6. Step 6: Final answer
    x = 296,004.52

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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.