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Finding the Fourth Proportional to 290,964.63, 401,470.98 and 170,082.54

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Solution

The fourth proportional to 290,964.63, 401,470.98 and 170,082.54 is: 234,678.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,964.63 : 401,470.98 = 170,082.54 : x
  2. Step 2: Convert to fraction form
    290,964.63/401,470.98 = 170,082.54/x
  3. Step 3: Cross multiply
    290,964.63x = 401,470.98 × 170,082.54
  4. Step 4: Simplify right side
    290,964.63x = 68,283,204,014.69
  5. Step 5: Solve for x
    x = 68,283,204,014.69/290,964.63
  6. Step 6: Final answer
    x = 234,678.71

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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.