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Finding the Fourth Proportional to 301,420.54, 415,961.25 and 165,468.42

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Solution

The fourth proportional to 301,420.54, 415,961.25 and 165,468.42 is: 228,346.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,420.54 : 415,961.25 = 165,468.42 : x
  2. Step 2: Convert to fraction form
    301,420.54/415,961.25 = 165,468.42/x
  3. Step 3: Cross multiply
    301,420.54x = 415,961.25 × 165,468.42
  4. Step 4: Simplify right side
    301,420.54x = 68,828,450,663.60
  5. Step 5: Solve for x
    x = 68,828,450,663.60/301,420.54
  6. Step 6: Final answer
    x = 228,346.91

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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.