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Finding the Fourth Proportional to 198,665.60, 297,998.40 and 185,446.40

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Solution

The fourth proportional to 198,665.60, 297,998.40 and 185,446.40 is: 278,169.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,665.60 : 297,998.40 = 185,446.40 : x
  2. Step 2: Convert to fraction form
    198,665.60/297,998.40 = 185,446.40/x
  3. Step 3: Cross multiply
    198,665.60x = 297,998.40 × 185,446.40
  4. Step 4: Simplify right side
    198,665.60x = 55,262,730,485.76
  5. Step 5: Solve for x
    x = 55,262,730,485.76/198,665.60
  6. Step 6: Final answer
    x = 278,169.60

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1.5x scale

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.