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Finding the Fourth Proportional to 394,628.56, 591,758.80 and 205,037.96

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Solution

The fourth proportional to 394,628.56, 591,758.80 and 205,037.96 is: 307,461.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,628.56 : 591,758.80 = 205,037.96 : x
  2. Step 2: Convert to fraction form
    394,628.56/591,758.80 = 205,037.96/x
  3. Step 3: Cross multiply
    394,628.56x = 591,758.80 × 205,037.96
  4. Step 4: Simplify right side
    394,628.56x = 121,333,013,692.66
  5. Step 5: Solve for x
    x = 121,333,013,692.66/394,628.56
  6. Step 6: Final answer
    x = 307,461.31

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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.