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Finding the Fourth Proportional to 222,313.45, 306,969.47 and 205,311.49

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Solution

The fourth proportional to 222,313.45, 306,969.47 and 205,311.49 is: 283,493.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,313.45 : 306,969.47 = 205,311.49 : x
  2. Step 2: Convert to fraction form
    222,313.45/306,969.47 = 205,311.49/x
  3. Step 3: Cross multiply
    222,313.45x = 306,969.47 × 205,311.49
  4. Step 4: Simplify right side
    222,313.45x = 63,024,359,270.21
  5. Step 5: Solve for x
    x = 63,024,359,270.21/222,313.45
  6. Step 6: Final answer
    x = 283,493.24

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