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Finding the Fourth Proportional to 356,418.66, 491,857.74 and 195,279.82

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Solution

The fourth proportional to 356,418.66, 491,857.74 and 195,279.82 is: 269,486.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,418.66 : 491,857.74 = 195,279.82 : x
  2. Step 2: Convert to fraction form
    356,418.66/491,857.74 = 195,279.82/x
  3. Step 3: Cross multiply
    356,418.66x = 491,857.74 × 195,279.82
  4. Step 4: Simplify right side
    356,418.66x = 96,049,890,932.81
  5. Step 5: Solve for x
    x = 96,049,890,932.81/356,418.66
  6. Step 6: Final answer
    x = 269,486.15

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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.