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Finding the Fourth Proportional to 297,394.67, 410,405.01 and 161,428.54

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Solution

The fourth proportional to 297,394.67, 410,405.01 and 161,428.54 is: 222,771.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,394.67 : 410,405.01 = 161,428.54 : x
  2. Step 2: Convert to fraction form
    297,394.67/410,405.01 = 161,428.54/x
  3. Step 3: Cross multiply
    297,394.67x = 410,405.01 × 161,428.54
  4. Step 4: Simplify right side
    297,394.67x = 66,251,081,572.99
  5. Step 5: Solve for x
    x = 66,251,081,572.99/297,394.67
  6. Step 6: Final answer
    x = 222,771.59

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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.