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Finding the Fourth Proportional to 389,969.61, 538,169.09 and 220,229.25

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Solution

The fourth proportional to 389,969.61, 538,169.09 and 220,229.25 is: 303,922.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,969.61 : 538,169.09 = 220,229.25 : x
  2. Step 2: Convert to fraction form
    389,969.61/538,169.09 = 220,229.25/x
  3. Step 3: Cross multiply
    389,969.61x = 538,169.09 × 220,229.25
  4. Step 4: Simplify right side
    389,969.61x = 118,520,575,063.88
  5. Step 5: Solve for x
    x = 118,520,575,063.88/389,969.61
  6. Step 6: Final answer
    x = 303,922.59

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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.