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Finding the Fourth Proportional to 290,693.61, 401,190.44 and 161,644.95

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Solution

The fourth proportional to 290,693.61, 401,190.44 and 161,644.95 is: 223,088.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,693.61 : 401,190.44 = 161,644.95 : x
  2. Step 2: Convert to fraction form
    290,693.61/401,190.44 = 161,644.95/x
  3. Step 3: Cross multiply
    290,693.61x = 401,190.44 × 161,644.95
  4. Step 4: Simplify right side
    290,693.61x = 64,850,407,806.05
  5. Step 5: Solve for x
    x = 64,850,407,806.05/290,693.61
  6. Step 6: Final answer
    x = 223,088.52

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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.