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Finding the Fourth Proportional to 299,583,563.20, 448,380,016.80 and 217,469,003.20

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Solution

The fourth proportional to 299,583,563.20, 448,380,016.80 and 217,469,003.20 is: 325,480,991.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,583,563.20 : 448,380,016.80 = 217,469,003.20 : x
  2. Step 2: Convert to fraction form
    299,583,563.20/448,380,016.80 = 217,469,003.20/x
  3. Step 3: Cross multiply
    299,583,563.20x = 448,380,016.80 × 217,469,003.20
  4. Step 4: Simplify right side
    299,583,563.20x = 97,508,755,308,295,248
  5. Step 5: Solve for x
    x = 97,508,755,308,295,248/299,583,563.20
  6. Step 6: Final answer
    x = 325,480,991.90

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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.