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Finding the Fourth Proportional to 322,416.82, 481,258.67 and 298,666

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Solution

The fourth proportional to 322,416.82, 481,258.67 and 298,666 is: 445,806.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,416.82 : 481,258.67 = 298,666 : x
  2. Step 2: Convert to fraction form
    322,416.82/481,258.67 = 298,666/x
  3. Step 3: Cross multiply
    322,416.82x = 481,258.67 × 298,666
  4. Step 4: Simplify right side
    322,416.82x = 143,735,601,934.22
  5. Step 5: Solve for x
    x = 143,735,601,934.22/322,416.82
  6. Step 6: Final answer
    x = 445,806.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.