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Finding the Fourth Proportional to 356,309.22, 491,713.80 and 195,164.31

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Solution

The fourth proportional to 356,309.22, 491,713.80 and 195,164.31 is: 269,330.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,309.22 : 491,713.80 = 195,164.31 : x
  2. Step 2: Convert to fraction form
    356,309.22/491,713.80 = 195,164.31/x
  3. Step 3: Cross multiply
    356,309.22x = 491,713.80 × 195,164.31
  4. Step 4: Simplify right side
    356,309.22x = 95,964,984,494.48
  5. Step 5: Solve for x
    x = 95,964,984,494.48/356,309.22
  6. Step 6: Final answer
    x = 269,330.62

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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.