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Finding the Fourth Proportional to 394,320.60, 590,703.30 and 227,914.20

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Solution

The fourth proportional to 394,320.60, 590,703.30 and 227,914.20 is: 341,421.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,320.60 : 590,703.30 = 227,914.20 : x
  2. Step 2: Convert to fraction form
    394,320.60/590,703.30 = 227,914.20/x
  3. Step 3: Cross multiply
    394,320.60x = 590,703.30 × 227,914.20
  4. Step 4: Simplify right side
    394,320.60x = 134,629,670,056.86
  5. Step 5: Solve for x
    x = 134,629,670,056.86/394,320.60
  6. Step 6: Final answer
    x = 341,421.85

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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.