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Finding the Fourth Proportional to 295,493, 407,780.34 and 161,357

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Solution

The fourth proportional to 295,493, 407,780.34 and 161,357 is: 222,672.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,493 : 407,780.34 = 161,357 : x
  2. Step 2: Convert to fraction form
    295,493/407,780.34 = 161,357/x
  3. Step 3: Cross multiply
    295,493x = 407,780.34 × 161,357
  4. Step 4: Simplify right side
    295,493x = 65,798,212,321.38
  5. Step 5: Solve for x
    x = 65,798,212,321.38/295,493
  6. Step 6: Final answer
    x = 222,672.66

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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.