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Finding the Fourth Proportional to 290,055.26, 400,270.22 and 160,986.16

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Solution

The fourth proportional to 290,055.26, 400,270.22 and 160,986.16 is: 222,157.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,055.26 : 400,270.22 = 160,986.16 : x
  2. Step 2: Convert to fraction form
    290,055.26/400,270.22 = 160,986.16/x
  3. Step 3: Cross multiply
    290,055.26x = 400,270.22 × 160,986.16
  4. Step 4: Simplify right side
    290,055.26x = 64,437,965,680.16
  5. Step 5: Solve for x
    x = 64,437,965,680.16/290,055.26
  6. Step 6: Final answer
    x = 222,157.55

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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.