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Finding the Fourth Proportional to 290,830.38, 401,296.79 and 161,751.89

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Solution

The fourth proportional to 290,830.38, 401,296.79 and 161,751.89 is: 223,190.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,830.38 : 401,296.79 = 161,751.89 : x
  2. Step 2: Convert to fraction form
    290,830.38/401,296.79 = 161,751.89/x
  3. Step 3: Cross multiply
    290,830.38x = 401,296.79 × 161,751.89
  4. Step 4: Simplify right side
    290,830.38x = 64,910,511,418.19
  5. Step 5: Solve for x
    x = 64,910,511,418.19/290,830.38
  6. Step 6: Final answer
    x = 223,190.27

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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.