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Finding the Fourth Proportional to 256,912.80, 385,369.20 and 194,704.80

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Solution

The fourth proportional to 256,912.80, 385,369.20 and 194,704.80 is: 292,057.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,912.80 : 385,369.20 = 194,704.80 : x
  2. Step 2: Convert to fraction form
    256,912.80/385,369.20 = 194,704.80/x
  3. Step 3: Cross multiply
    256,912.80x = 385,369.20 × 194,704.80
  4. Step 4: Simplify right side
    256,912.80x = 75,033,233,012.16
  5. Step 5: Solve for x
    x = 75,033,233,012.16/256,912.80
  6. Step 6: Final answer
    x = 292,057.20

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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.