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Finding the Fourth Proportional to 279,776.28, 419,827.25 and 117,658.68

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Solution

The fourth proportional to 279,776.28, 419,827.25 and 117,658.68 is: 176,556.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,776.28 : 419,827.25 = 117,658.68 : x
  2. Step 2: Convert to fraction form
    279,776.28/419,827.25 = 117,658.68/x
  3. Step 3: Cross multiply
    279,776.28x = 419,827.25 × 117,658.68
  4. Step 4: Simplify right side
    279,776.28x = 49,396,318,782.82
  5. Step 5: Solve for x
    x = 49,396,318,782.82/279,776.28
  6. Step 6: Final answer
    x = 176,556.49

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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.