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Finding the Fourth Proportional to 290,224.93, 400,487.49 and 161,151.22

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Solution

The fourth proportional to 290,224.93, 400,487.49 and 161,151.22 is: 222,375.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,224.93 : 400,487.49 = 161,151.22 : x
  2. Step 2: Convert to fraction form
    290,224.93/400,487.49 = 161,151.22/x
  3. Step 3: Cross multiply
    290,224.93x = 400,487.49 × 161,151.22
  4. Step 4: Simplify right side
    290,224.93x = 64,539,047,608.24
  5. Step 5: Solve for x
    x = 64,539,047,608.24/290,224.93
  6. Step 6: Final answer
    x = 222,375.96

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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.