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Finding the Fourth Proportional to 279,731.25, 419,593.71 and 167,442.84

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Solution

The fourth proportional to 279,731.25, 419,593.71 and 167,442.84 is: 251,162.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,731.25 : 419,593.71 = 167,442.84 : x
  2. Step 2: Convert to fraction form
    279,731.25/419,593.71 = 167,442.84/x
  3. Step 3: Cross multiply
    279,731.25x = 419,593.71 × 167,442.84
  4. Step 4: Simplify right side
    279,731.25x = 70,257,962,448.54
  5. Step 5: Solve for x
    x = 70,257,962,448.54/279,731.25
  6. Step 6: Final answer
    x = 251,162.37

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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.