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Finding the Fourth Proportional to 419,563.43, 578,845.65 and 274,452.04

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Solution

The fourth proportional to 419,563.43, 578,845.65 and 274,452.04 is: 378,644.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,563.43 : 578,845.65 = 274,452.04 : x
  2. Step 2: Convert to fraction form
    419,563.43/578,845.65 = 274,452.04/x
  3. Step 3: Cross multiply
    419,563.43x = 578,845.65 × 274,452.04
  4. Step 4: Simplify right side
    419,563.43x = 158,865,371,240.38
  5. Step 5: Solve for x
    x = 158,865,371,240.38/419,563.43
  6. Step 6: Final answer
    x = 378,644.47

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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.