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Finding the Fourth Proportional to 290,822.70, 401,331.08 and 161,759.82

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Solution

The fourth proportional to 290,822.70, 401,331.08 and 161,759.82 is: 223,226.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,822.70 : 401,331.08 = 161,759.82 : x
  2. Step 2: Convert to fraction form
    290,822.70/401,331.08 = 161,759.82/x
  3. Step 3: Cross multiply
    290,822.70x = 401,331.08 × 161,759.82
  4. Step 4: Simplify right side
    290,822.70x = 64,919,243,261.21
  5. Step 5: Solve for x
    x = 64,919,243,261.21/290,822.70
  6. Step 6: Final answer
    x = 223,226.19

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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.