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Finding the Fourth Proportional to 301,403.97, 415,942.85 and 165,450.57

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Solution

The fourth proportional to 301,403.97, 415,942.85 and 165,450.57 is: 228,324.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,403.97 : 415,942.85 = 165,450.57 : x
  2. Step 2: Convert to fraction form
    301,403.97/415,942.85 = 165,450.57/x
  3. Step 3: Cross multiply
    301,403.97x = 415,942.85 × 165,450.57
  4. Step 4: Simplify right side
    301,403.97x = 68,817,980,993.69
  5. Step 5: Solve for x
    x = 68,817,980,993.69/301,403.97
  6. Step 6: Final answer
    x = 228,324.73

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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.