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Finding the Fourth Proportional to 412,753.75, 619,192.15 and 146,491.97

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Solution

The fourth proportional to 412,753.75, 619,192.15 and 146,491.97 is: 219,759.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,753.75 : 619,192.15 = 146,491.97 : x
  2. Step 2: Convert to fraction form
    412,753.75/619,192.15 = 146,491.97/x
  3. Step 3: Cross multiply
    412,753.75x = 619,192.15 × 146,491.97
  4. Step 4: Simplify right side
    412,753.75x = 90,706,674,399.84
  5. Step 5: Solve for x
    x = 90,706,674,399.84/412,753.75
  6. Step 6: Final answer
    x = 219,759.78

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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.