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Finding the Fourth Proportional to 422,793.60, 633,307.20 and 198,345.60

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Solution

The fourth proportional to 422,793.60, 633,307.20 and 198,345.60 is: 297,104.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,793.60 : 633,307.20 = 198,345.60 : x
  2. Step 2: Convert to fraction form
    422,793.60/633,307.20 = 198,345.60/x
  3. Step 3: Cross multiply
    422,793.60x = 633,307.20 × 198,345.60
  4. Step 4: Simplify right side
    422,793.60x = 125,613,696,568.32
  5. Step 5: Solve for x
    x = 125,613,696,568.32/422,793.60
  6. Step 6: Final answer
    x = 297,104.06

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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.