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Finding the Fourth Proportional to 331,221.96, 496,841.10 and 120,859.86

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Solution

The fourth proportional to 331,221.96, 496,841.10 and 120,859.86 is: 181,292.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,221.96 : 496,841.10 = 120,859.86 : x
  2. Step 2: Convert to fraction form
    331,221.96/496,841.10 = 120,859.86/x
  3. Step 3: Cross multiply
    331,221.96x = 496,841.10 × 120,859.86
  4. Step 4: Simplify right side
    331,221.96x = 60,048,145,788.25
  5. Step 5: Solve for x
    x = 60,048,145,788.25/331,221.96
  6. Step 6: Final answer
    x = 181,292.77

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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.