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Finding the Fourth Proportional to 353,016.82, 487,234.11 and 209,749.33

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Solution

The fourth proportional to 353,016.82, 487,234.11 and 209,749.33 is: 289,496.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,016.82 : 487,234.11 = 209,749.33 : x
  2. Step 2: Convert to fraction form
    353,016.82/487,234.11 = 209,749.33/x
  3. Step 3: Cross multiply
    353,016.82x = 487,234.11 × 209,749.33
  4. Step 4: Simplify right side
    353,016.82x = 102,197,028,125.65
  5. Step 5: Solve for x
    x = 102,197,028,125.65/353,016.82
  6. Step 6: Final answer
    x = 289,496.20

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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.