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Finding the Fourth Proportional to 318,540.36, 478,105.92 and 160,879.44

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Solution

The fourth proportional to 318,540.36, 478,105.92 and 160,879.44 is: 241,468.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,540.36 : 478,105.92 = 160,879.44 : x
  2. Step 2: Convert to fraction form
    318,540.36/478,105.92 = 160,879.44/x
  3. Step 3: Cross multiply
    318,540.36x = 478,105.92 × 160,879.44
  4. Step 4: Simplify right side
    318,540.36x = 76,917,412,670.28
  5. Step 5: Solve for x
    x = 76,917,412,670.28/318,540.36
  6. Step 6: Final answer
    x = 241,468.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.