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Finding the Fourth Proportional to 301,408.96, 415,949.44 and 165,455.68

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Solution

The fourth proportional to 301,408.96, 415,949.44 and 165,455.68 is: 228,331.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,408.96 : 415,949.44 = 165,455.68 : x
  2. Step 2: Convert to fraction form
    301,408.96/415,949.44 = 165,455.68/x
  3. Step 3: Cross multiply
    301,408.96x = 415,949.44 × 165,455.68
  4. Step 4: Simplify right side
    301,408.96x = 68,821,197,440.82
  5. Step 5: Solve for x
    x = 68,821,197,440.82/301,408.96
  6. Step 6: Final answer
    x = 228,331.62

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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.