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Finding the Fourth Proportional to 326,575.56, 490,014 and 149,136.96

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Solution

The fourth proportional to 326,575.56, 490,014 and 149,136.96 is: 223,774.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,575.56 : 490,014 = 149,136.96 : x
  2. Step 2: Convert to fraction form
    326,575.56/490,014 = 149,136.96/x
  3. Step 3: Cross multiply
    326,575.56x = 490,014 × 149,136.96
  4. Step 4: Simplify right side
    326,575.56x = 73,079,198,317.44
  5. Step 5: Solve for x
    x = 73,079,198,317.44/326,575.56
  6. Step 6: Final answer
    x = 223,774.24

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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.