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Finding the Fourth Proportional to 274,764.80, 411,628.80 and 256,102.40

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Solution

The fourth proportional to 274,764.80, 411,628.80 and 256,102.40 is: 383,670.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,764.80 : 411,628.80 = 256,102.40 : x
  2. Step 2: Convert to fraction form
    274,764.80/411,628.80 = 256,102.40/x
  3. Step 3: Cross multiply
    274,764.80x = 411,628.80 × 256,102.40
  4. Step 4: Simplify right side
    274,764.80x = 105,419,123,589.12
  5. Step 5: Solve for x
    x = 105,419,123,589.12/274,764.80
  6. Step 6: Final answer
    x = 383,670.41

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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.