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Finding the Fourth Proportional to 285,390.22, 394,103.24 and 213,645.68

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Solution

The fourth proportional to 285,390.22, 394,103.24 and 213,645.68 is: 295,029.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,390.22 : 394,103.24 = 213,645.68 : x
  2. Step 2: Convert to fraction form
    285,390.22/394,103.24 = 213,645.68/x
  3. Step 3: Cross multiply
    285,390.22x = 394,103.24 × 213,645.68
  4. Step 4: Simplify right side
    285,390.22x = 84,198,453,631.77
  5. Step 5: Solve for x
    x = 84,198,453,631.77/285,390.22
  6. Step 6: Final answer
    x = 295,029.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.