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Finding the Fourth Proportional to 326,709.88, 490,190.45 and 158,217.25

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Solution

The fourth proportional to 326,709.88, 490,190.45 and 158,217.25 is: 237,386.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,709.88 : 490,190.45 = 158,217.25 : x
  2. Step 2: Convert to fraction form
    326,709.88/490,190.45 = 158,217.25/x
  3. Step 3: Cross multiply
    326,709.88x = 490,190.45 × 158,217.25
  4. Step 4: Simplify right side
    326,709.88x = 77,556,582,524.31
  5. Step 5: Solve for x
    x = 77,556,582,524.31/326,709.88
  6. Step 6: Final answer
    x = 237,386.71

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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.