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Finding the Fourth Proportional to 279,843.84, 419,501.30 and 111,468.13

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Solution

The fourth proportional to 279,843.84, 419,501.30 and 111,468.13 is: 167,096.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,843.84 : 419,501.30 = 111,468.13 : x
  2. Step 2: Convert to fraction form
    279,843.84/419,501.30 = 111,468.13/x
  3. Step 3: Cross multiply
    279,843.84x = 419,501.30 × 111,468.13
  4. Step 4: Simplify right side
    279,843.84x = 46,761,023,837.48
  5. Step 5: Solve for x
    x = 46,761,023,837.48/279,843.84
  6. Step 6: Final answer
    x = 167,096.85

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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.