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Finding the Fourth Proportional to 412,998.88, 619,131.30 and 146,724.28

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Solution

The fourth proportional to 412,998.88, 619,131.30 and 146,724.28 is: 219,956.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,998.88 : 619,131.30 = 146,724.28 : x
  2. Step 2: Convert to fraction form
    412,998.88/619,131.30 = 146,724.28/x
  3. Step 3: Cross multiply
    412,998.88x = 619,131.30 × 146,724.28
  4. Step 4: Simplify right side
    412,998.88x = 90,841,594,217.96
  5. Step 5: Solve for x
    x = 90,841,594,217.96/412,998.88
  6. Step 6: Final answer
    x = 219,956.03

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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.