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Finding the Fourth Proportional to 394,051.57, 543,361.16 and 266,505.73

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Solution

The fourth proportional to 394,051.57, 543,361.16 and 266,505.73 is: 367,487.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,051.57 : 543,361.16 = 266,505.73 : x
  2. Step 2: Convert to fraction form
    394,051.57/543,361.16 = 266,505.73/x
  3. Step 3: Cross multiply
    394,051.57x = 543,361.16 × 266,505.73
  4. Step 4: Simplify right side
    394,051.57x = 144,808,861,907.31
  5. Step 5: Solve for x
    x = 144,808,861,907.31/394,051.57
  6. Step 6: Final answer
    x = 367,487.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.