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Finding the Fourth Proportional to 295,489, 407,774.82 and 161,353

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Solution

The fourth proportional to 295,489, 407,774.82 and 161,353 is: 222,667.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,489 : 407,774.82 = 161,353 : x
  2. Step 2: Convert to fraction form
    295,489/407,774.82 = 161,353/x
  3. Step 3: Cross multiply
    295,489x = 407,774.82 × 161,353
  4. Step 4: Simplify right side
    295,489x = 65,795,690,531.46
  5. Step 5: Solve for x
    x = 65,795,690,531.46/295,489
  6. Step 6: Final answer
    x = 222,667.14

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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.