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Finding the Fourth Proportional to 331,404.60, 497,189.70 and 106,786.20

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Solution

The fourth proportional to 331,404.60, 497,189.70 and 106,786.20 is: 160,205.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,404.60 : 497,189.70 = 106,786.20 : x
  2. Step 2: Convert to fraction form
    331,404.60/497,189.70 = 106,786.20/x
  3. Step 3: Cross multiply
    331,404.60x = 497,189.70 × 106,786.20
  4. Step 4: Simplify right side
    331,404.60x = 53,092,998,742.14
  5. Step 5: Solve for x
    x = 53,092,998,742.14/331,404.60
  6. Step 6: Final answer
    x = 160,205.98

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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.