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Finding the Fourth Proportional to 279,458.25, 419,249.23 and 101,964.75

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Solution

The fourth proportional to 279,458.25, 419,249.23 and 101,964.75 is: 152,969.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,458.25 : 419,249.23 = 101,964.75 : x
  2. Step 2: Convert to fraction form
    279,458.25/419,249.23 = 101,964.75/x
  3. Step 3: Cross multiply
    279,458.25x = 419,249.23 × 101,964.75
  4. Step 4: Simplify right side
    279,458.25x = 42,748,644,029.37
  5. Step 5: Solve for x
    x = 42,748,644,029.37/279,458.25
  6. Step 6: Final answer
    x = 152,969.70

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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.