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Finding the Fourth Proportional to 422,793.96, 633,345.92 and 254,221.98

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Solution

The fourth proportional to 422,793.96, 633,345.92 and 254,221.98 is: 380,824.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,793.96 : 633,345.92 = 254,221.98 : x
  2. Step 2: Convert to fraction form
    422,793.96/633,345.92 = 254,221.98/x
  3. Step 3: Cross multiply
    422,793.96x = 633,345.92 × 254,221.98
  4. Step 4: Simplify right side
    422,793.96x = 161,010,453,807.32
  5. Step 5: Solve for x
    x = 161,010,453,807.32/422,793.96
  6. Step 6: Final answer
    x = 380,824.87

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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.