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Finding the Fourth Proportional to 290,182.56, 400,475.84 and 161,129.04

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Solution

The fourth proportional to 290,182.56, 400,475.84 and 161,129.04 is: 222,371.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,182.56 : 400,475.84 = 161,129.04 : x
  2. Step 2: Convert to fraction form
    290,182.56/400,475.84 = 161,129.04/x
  3. Step 3: Cross multiply
    290,182.56x = 400,475.84 × 161,129.04
  4. Step 4: Simplify right side
    290,182.56x = 64,528,286,836.75
  5. Step 5: Solve for x
    x = 64,528,286,836.75/290,182.56
  6. Step 6: Final answer
    x = 222,371.35

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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.