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Finding the Fourth Proportional to 301,289.73, 415,765.85 and 165,320.29

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Solution

The fourth proportional to 301,289.73, 415,765.85 and 165,320.29 is: 228,134.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,289.73 : 415,765.85 = 165,320.29 : x
  2. Step 2: Convert to fraction form
    301,289.73/415,765.85 = 165,320.29/x
  3. Step 3: Cross multiply
    301,289.73x = 415,765.85 × 165,320.29
  4. Step 4: Simplify right side
    301,289.73x = 68,734,530,587.20
  5. Step 5: Solve for x
    x = 68,734,530,587.20/301,289.73
  6. Step 6: Final answer
    x = 228,134.33

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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.