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Finding the Fourth Proportional to 309,920.96, 465,105.54 and 110,243

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Solution

The fourth proportional to 309,920.96, 465,105.54 and 110,243 is: 165,444.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,920.96 : 465,105.54 = 110,243 : x
  2. Step 2: Convert to fraction form
    309,920.96/465,105.54 = 110,243/x
  3. Step 3: Cross multiply
    309,920.96x = 465,105.54 × 110,243
  4. Step 4: Simplify right side
    309,920.96x = 51,274,630,046.22
  5. Step 5: Solve for x
    x = 51,274,630,046.22/309,920.96
  6. Step 6: Final answer
    x = 165,444.22

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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.