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Finding the Fourth Proportional to 356,492.71, 491,959.94 and 205,589.71

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Solution

The fourth proportional to 356,492.71, 491,959.94 and 205,589.71 is: 283,713.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,492.71 : 491,959.94 = 205,589.71 : x
  2. Step 2: Convert to fraction form
    356,492.71/491,959.94 = 205,589.71/x
  3. Step 3: Cross multiply
    356,492.71x = 491,959.94 × 205,589.71
  4. Step 4: Simplify right side
    356,492.71x = 101,141,901,396.22
  5. Step 5: Solve for x
    x = 101,141,901,396.22/356,492.71
  6. Step 6: Final answer
    x = 283,713.80

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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.