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Finding the Fourth Proportional to 279,723.36, 419,730.72 and 111,207.68

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Solution

The fourth proportional to 279,723.36, 419,730.72 and 111,207.68 is: 166,869.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,723.36 : 419,730.72 = 111,207.68 : x
  2. Step 2: Convert to fraction form
    279,723.36/419,730.72 = 111,207.68/x
  3. Step 3: Cross multiply
    279,723.36x = 419,730.72 × 111,207.68
  4. Step 4: Simplify right side
    279,723.36x = 46,677,279,595.93
  5. Step 5: Solve for x
    x = 46,677,279,595.93/279,723.36
  6. Step 6: Final answer
    x = 166,869.44

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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.