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Finding the Fourth Proportional to 394,150.05, 590,801.85 and 204,420.51

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Solution

The fourth proportional to 394,150.05, 590,801.85 and 204,420.51 is: 306,411.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,150.05 : 590,801.85 = 204,420.51 : x
  2. Step 2: Convert to fraction form
    394,150.05/590,801.85 = 204,420.51/x
  3. Step 3: Cross multiply
    394,150.05x = 590,801.85 × 204,420.51
  4. Step 4: Simplify right side
    394,150.05x = 120,772,015,485.94
  5. Step 5: Solve for x
    x = 120,772,015,485.94/394,150.05
  6. Step 6: Final answer
    x = 306,411.27

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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.