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Finding the Fourth Proportional to 298,346.04, 447,519.34 and 209,993.88

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Solution

The fourth proportional to 298,346.04, 447,519.34 and 209,993.88 is: 314,991.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,346.04 : 447,519.34 = 209,993.88 : x
  2. Step 2: Convert to fraction form
    298,346.04/447,519.34 = 209,993.88/x
  3. Step 3: Cross multiply
    298,346.04x = 447,519.34 × 209,993.88
  4. Step 4: Simplify right side
    298,346.04x = 93,976,322,581.64
  5. Step 5: Solve for x
    x = 93,976,322,581.64/298,346.04
  6. Step 6: Final answer
    x = 314,991.02

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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.