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Finding the Fourth Proportional to 290,215.88, 400,492.33 and 161,147.64

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Solution

The fourth proportional to 290,215.88, 400,492.33 and 161,147.64 is: 222,380.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,215.88 : 400,492.33 = 161,147.64 : x
  2. Step 2: Convert to fraction form
    290,215.88/400,492.33 = 161,147.64/x
  3. Step 3: Cross multiply
    290,215.88x = 400,492.33 × 161,147.64
  4. Step 4: Simplify right side
    290,215.88x = 64,538,393,817.60
  5. Step 5: Solve for x
    x = 64,538,393,817.60/290,215.88
  6. Step 6: Final answer
    x = 222,380.65

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1.5x scale

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.