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Finding the Fourth Proportional to 298,481.80, 446,738.55 and 209,908.30

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Solution

The fourth proportional to 298,481.80, 446,738.55 and 209,908.30 is: 314,170.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,481.80 : 446,738.55 = 209,908.30 : x
  2. Step 2: Convert to fraction form
    298,481.80/446,738.55 = 209,908.30/x
  3. Step 3: Cross multiply
    298,481.80x = 446,738.55 × 209,908.30
  4. Step 4: Simplify right side
    298,481.80x = 93,774,129,574.97
  5. Step 5: Solve for x
    x = 93,774,129,574.97/298,481.80
  6. Step 6: Final answer
    x = 314,170.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.