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Finding the Fourth Proportional to 301,129.25, 415,555.52 and 165,160.42

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Solution

The fourth proportional to 301,129.25, 415,555.52 and 165,160.42 is: 227,919.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,129.25 : 415,555.52 = 165,160.42 : x
  2. Step 2: Convert to fraction form
    301,129.25/415,555.52 = 165,160.42/x
  3. Step 3: Cross multiply
    301,129.25x = 415,555.52 × 165,160.42
  4. Step 4: Simplify right side
    301,129.25x = 68,633,322,351.83
  5. Step 5: Solve for x
    x = 68,633,322,351.83/301,129.25
  6. Step 6: Final answer
    x = 227,919.82

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1.5x scale

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.