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Finding the Fourth Proportional to 326,709.86, 490,121.89 and 149,234.81

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Solution

The fourth proportional to 326,709.86, 490,121.89 and 149,234.81 is: 223,878.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,709.86 : 490,121.89 = 149,234.81 : x
  2. Step 2: Convert to fraction form
    326,709.86/490,121.89 = 149,234.81/x
  3. Step 3: Cross multiply
    326,709.86x = 490,121.89 × 149,234.81
  4. Step 4: Simplify right side
    326,709.86x = 73,143,244,307.29
  5. Step 5: Solve for x
    x = 73,143,244,307.29/326,709.86
  6. Step 6: Final answer
    x = 223,878.29

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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.