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Finding the Fourth Proportional to 326,138.96, 489,175.68 and 89,505.44

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Solution

The fourth proportional to 326,138.96, 489,175.68 and 89,505.44 is: 134,249.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,138.96 : 489,175.68 = 89,505.44 : x
  2. Step 2: Convert to fraction form
    326,138.96/489,175.68 = 89,505.44/x
  3. Step 3: Cross multiply
    326,138.96x = 489,175.68 × 89,505.44
  4. Step 4: Simplify right side
    326,138.96x = 43,783,884,475.70
  5. Step 5: Solve for x
    x = 43,783,884,475.70/326,138.96
  6. Step 6: Final answer
    x = 134,249.17

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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.