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Finding the Fourth Proportional to 290,692.20, 401,188.50 and 161,643.54

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Solution

The fourth proportional to 290,692.20, 401,188.50 and 161,643.54 is: 223,086.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,692.20 : 401,188.50 = 161,643.54 : x
  2. Step 2: Convert to fraction form
    290,692.20/401,188.50 = 161,643.54/x
  3. Step 3: Cross multiply
    290,692.20x = 401,188.50 × 161,643.54
  4. Step 4: Simplify right side
    290,692.20x = 64,849,530,851.75
  5. Step 5: Solve for x
    x = 64,849,530,851.75/290,692.20
  6. Step 6: Final answer
    x = 223,086.58

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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.