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Finding the Fourth Proportional to 389,914.12, 538,020.60 and 220,144.60

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Solution

The fourth proportional to 389,914.12, 538,020.60 and 220,144.60 is: 303,765.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,914.12 : 538,020.60 = 220,144.60 : x
  2. Step 2: Convert to fraction form
    389,914.12/538,020.60 = 220,144.60/x
  3. Step 3: Cross multiply
    389,914.12x = 538,020.60 × 220,144.60
  4. Step 4: Simplify right side
    389,914.12x = 118,442,329,778.76
  5. Step 5: Solve for x
    x = 118,442,329,778.76/389,914.12
  6. Step 6: Final answer
    x = 303,765.17

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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.