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Finding the Fourth Proportional to 274,652.80, 412,286.40 and 256,604.80

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Solution

The fourth proportional to 274,652.80, 412,286.40 and 256,604.80 is: 385,194.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,652.80 : 412,286.40 = 256,604.80 : x
  2. Step 2: Convert to fraction form
    274,652.80/412,286.40 = 256,604.80/x
  3. Step 3: Cross multiply
    274,652.80x = 412,286.40 × 256,604.80
  4. Step 4: Simplify right side
    274,652.80x = 105,794,669,214.72
  5. Step 5: Solve for x
    x = 105,794,669,214.72/274,652.80
  6. Step 6: Final answer
    x = 385,194.21

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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.