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Finding the Fourth Proportional to 274,912.80, 412,676.40 and 256,864.80

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Solution

The fourth proportional to 274,912.80, 412,676.40 and 256,864.80 is: 385,584.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,912.80 : 412,676.40 = 256,864.80 : x
  2. Step 2: Convert to fraction form
    274,912.80/412,676.40 = 256,864.80/x
  3. Step 3: Cross multiply
    274,912.80x = 412,676.40 × 256,864.80
  4. Step 4: Simplify right side
    274,912.80x = 106,002,040,950.72
  5. Step 5: Solve for x
    x = 106,002,040,950.72/274,912.80
  6. Step 6: Final answer
    x = 385,584.23

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1.5x scale

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.