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Finding the Fourth Proportional to 290,965.13, 401,471.67 and 170,083.04

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Solution

The fourth proportional to 290,965.13, 401,471.67 and 170,083.04 is: 234,679.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,965.13 : 401,471.67 = 170,083.04 : x
  2. Step 2: Convert to fraction form
    290,965.13/401,471.67 = 170,083.04/x
  3. Step 3: Cross multiply
    290,965.13x = 401,471.67 × 170,083.04
  4. Step 4: Simplify right side
    290,965.13x = 68,283,522,107.48
  5. Step 5: Solve for x
    x = 68,283,522,107.48/290,965.13
  6. Step 6: Final answer
    x = 234,679.40

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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.