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Finding the Fourth Proportional to 321,258.80, 443,544.36 and 206,588.72

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Solution

The fourth proportional to 321,258.80, 443,544.36 and 206,588.72 is: 285,225.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,258.80 : 443,544.36 = 206,588.72 : x
  2. Step 2: Convert to fraction form
    321,258.80/443,544.36 = 206,588.72/x
  3. Step 3: Cross multiply
    321,258.80x = 443,544.36 × 206,588.72
  4. Step 4: Simplify right side
    321,258.80x = 91,631,261,595.62
  5. Step 5: Solve for x
    x = 91,631,261,595.62/321,258.80
  6. Step 6: Final answer
    x = 285,225.69

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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.