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Finding the Fourth Proportional to 356,013.44, 491,421.44 and 205,170.56

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Solution

The fourth proportional to 356,013.44, 491,421.44 and 205,170.56 is: 283,206.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,013.44 : 491,421.44 = 205,170.56 : x
  2. Step 2: Convert to fraction form
    356,013.44/491,421.44 = 205,170.56/x
  3. Step 3: Cross multiply
    356,013.44x = 491,421.44 × 205,170.56
  4. Step 4: Simplify right side
    356,013.44x = 100,825,212,040.81
  5. Step 5: Solve for x
    x = 100,825,212,040.81/356,013.44
  6. Step 6: Final answer
    x = 283,206.20

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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.