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Finding the Fourth Proportional to 394,555.91, 591,622.25 and 204,825.15

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Solution

The fourth proportional to 394,555.91, 591,622.25 and 204,825.15 is: 307,127.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,555.91 : 591,622.25 = 204,825.15 : x
  2. Step 2: Convert to fraction form
    394,555.91/591,622.25 = 204,825.15/x
  3. Step 3: Cross multiply
    394,555.91x = 591,622.25 × 204,825.15
  4. Step 4: Simplify right side
    394,555.91x = 121,179,115,075.46
  5. Step 5: Solve for x
    x = 121,179,115,075.46/394,555.91
  6. Step 6: Final answer
    x = 307,127.87

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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.