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Finding the Fourth Proportional to 213,517.34, 320,390.22 and 138,619.88

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Solution

The fourth proportional to 213,517.34, 320,390.22 and 138,619.88 is: 208,003.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,517.34 : 320,390.22 = 138,619.88 : x
  2. Step 2: Convert to fraction form
    213,517.34/320,390.22 = 138,619.88/x
  3. Step 3: Cross multiply
    213,517.34x = 320,390.22 × 138,619.88
  4. Step 4: Simplify right side
    213,517.34x = 44,412,453,849.57
  5. Step 5: Solve for x
    x = 44,412,453,849.57/213,517.34
  6. Step 6: Final answer
    x = 208,003.97

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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.