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Finding the Fourth Proportional to 279,852.17, 419,647.04 and 102,234.97

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Solution

The fourth proportional to 279,852.17, 419,647.04 and 102,234.97 is: 153,304.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,852.17 : 419,647.04 = 102,234.97 : x
  2. Step 2: Convert to fraction form
    279,852.17/419,647.04 = 102,234.97/x
  3. Step 3: Cross multiply
    279,852.17x = 419,647.04 × 102,234.97
  4. Step 4: Simplify right side
    279,852.17x = 42,902,600,984.70
  5. Step 5: Solve for x
    x = 42,902,600,984.70/279,852.17
  6. Step 6: Final answer
    x = 153,304.51

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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.