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Finding the Fourth Proportional to 409,276.60, 613,914.90 and 128,793.85

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Solution

The fourth proportional to 409,276.60, 613,914.90 and 128,793.85 is: 193,190.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,276.60 : 613,914.90 = 128,793.85 : x
  2. Step 2: Convert to fraction form
    409,276.60/613,914.90 = 128,793.85/x
  3. Step 3: Cross multiply
    409,276.60x = 613,914.90 × 128,793.85
  4. Step 4: Simplify right side
    409,276.60x = 79,068,463,543.37
  5. Step 5: Solve for x
    x = 79,068,463,543.37/409,276.60
  6. Step 6: Final answer
    x = 193,190.78

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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.