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Finding the Fourth Proportional to 301,367.58, 415,912.78 and 165,424.55

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Solution

The fourth proportional to 301,367.58, 415,912.78 and 165,424.55 is: 228,299.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,367.58 : 415,912.78 = 165,424.55 : x
  2. Step 2: Convert to fraction form
    301,367.58/415,912.78 = 165,424.55/x
  3. Step 3: Cross multiply
    301,367.58x = 415,912.78 × 165,424.55
  4. Step 4: Simplify right side
    301,367.58x = 68,802,182,391.19
  5. Step 5: Solve for x
    x = 68,802,182,391.19/301,367.58
  6. Step 6: Final answer
    x = 228,299.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.