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Finding the Fourth Proportional to 394,300.80, 591,554.94 and 204,773.76

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Solution

The fourth proportional to 394,300.80, 591,554.94 and 204,773.76 is: 307,214.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,300.80 : 591,554.94 = 204,773.76 : x
  2. Step 2: Convert to fraction form
    394,300.80/591,554.94 = 204,773.76/x
  3. Step 3: Cross multiply
    394,300.80x = 591,554.94 × 204,773.76
  4. Step 4: Simplify right side
    394,300.80x = 121,134,929,310.37
  5. Step 5: Solve for x
    x = 121,134,929,310.37/394,300.80
  6. Step 6: Final answer
    x = 307,214.52

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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.