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Finding the Fourth Proportional to 356,515.46, 491,944.56 and 213,223.22

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Solution

The fourth proportional to 356,515.46, 491,944.56 and 213,223.22 is: 294,220.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,515.46 : 491,944.56 = 213,223.22 : x
  2. Step 2: Convert to fraction form
    356,515.46/491,944.56 = 213,223.22/x
  3. Step 3: Cross multiply
    356,515.46x = 491,944.56 × 213,223.22
  4. Step 4: Simplify right side
    356,515.46x = 104,894,003,144.68
  5. Step 5: Solve for x
    x = 104,894,003,144.68/356,515.46
  6. Step 6: Final answer
    x = 294,220.07

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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.