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Finding the Fourth Proportional to 290,858.56, 401,335.90 and 161,780.20

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Solution

The fourth proportional to 290,858.56, 401,335.90 and 161,780.20 is: 223,229.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,858.56 : 401,335.90 = 161,780.20 : x
  2. Step 2: Convert to fraction form
    290,858.56/401,335.90 = 161,780.20/x
  3. Step 3: Cross multiply
    290,858.56x = 401,335.90 × 161,780.20
  4. Step 4: Simplify right side
    290,858.56x = 64,928,200,761.39
  5. Step 5: Solve for x
    x = 64,928,200,761.39/290,858.56
  6. Step 6: Final answer
    x = 223,229.47

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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.