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Finding the Fourth Proportional to 290,485.16, 400,860.79 and 161,423.20

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Solution

The fourth proportional to 290,485.16, 400,860.79 and 161,423.20 is: 222,759.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,485.16 : 400,860.79 = 161,423.20 : x
  2. Step 2: Convert to fraction form
    290,485.16/400,860.79 = 161,423.20/x
  3. Step 3: Cross multiply
    290,485.16x = 400,860.79 × 161,423.20
  4. Step 4: Simplify right side
    290,485.16x = 64,708,231,476.33
  5. Step 5: Solve for x
    x = 64,708,231,476.33/290,485.16
  6. Step 6: Final answer
    x = 222,759.16

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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.