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Finding the Fourth Proportional to 356,491.71, 491,958.56 and 205,588.71

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Solution

The fourth proportional to 356,491.71, 491,958.56 and 205,588.71 is: 283,712.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,491.71 : 491,958.56 = 205,588.71 : x
  2. Step 2: Convert to fraction form
    356,491.71/491,958.56 = 205,588.71/x
  3. Step 3: Cross multiply
    356,491.71x = 491,958.56 × 205,588.71
  4. Step 4: Simplify right side
    356,491.71x = 101,141,125,723.86
  5. Step 5: Solve for x
    x = 101,141,125,723.86/356,491.71
  6. Step 6: Final answer
    x = 283,712.42

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1.5x scale

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.