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Finding the Fourth Proportional to 290,662.83, 401,072.31 and 161,590.95

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Solution

The fourth proportional to 290,662.83, 401,072.31 and 161,590.95 is: 222,971.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,662.83 : 401,072.31 = 161,590.95 : x
  2. Step 2: Convert to fraction form
    290,662.83/401,072.31 = 161,590.95/x
  3. Step 3: Cross multiply
    290,662.83x = 401,072.31 × 161,590.95
  4. Step 4: Simplify right side
    290,662.83x = 64,809,655,591.59
  5. Step 5: Solve for x
    x = 64,809,655,591.59/290,662.83
  6. Step 6: Final answer
    x = 222,971.94

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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.