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Finding the Fourth Proportional to 489,249.40, 733,874.10 and 422,764.60

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Solution

The fourth proportional to 489,249.40, 733,874.10 and 422,764.60 is: 634,146.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,249.40 : 733,874.10 = 422,764.60 : x
  2. Step 2: Convert to fraction form
    489,249.40/733,874.10 = 422,764.60/x
  3. Step 3: Cross multiply
    489,249.40x = 733,874.10 × 422,764.60
  4. Step 4: Simplify right side
    489,249.40x = 310,255,990,336.86
  5. Step 5: Solve for x
    x = 310,255,990,336.86/489,249.40
  6. Step 6: Final answer
    x = 634,146.90

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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.