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Finding the Fourth Proportional to 298,907,999.80, 448,361,999.70 and 217,278,662.20

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Solution

The fourth proportional to 298,907,999.80, 448,361,999.70 and 217,278,662.20 is: 325,917,993.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,907,999.80 : 448,361,999.70 = 217,278,662.20 : x
  2. Step 2: Convert to fraction form
    298,907,999.80/448,361,999.70 = 217,278,662.20/x
  3. Step 3: Cross multiply
    298,907,999.80x = 448,361,999.70 × 217,278,662.20
  4. Step 4: Simplify right side
    298,907,999.80x = 97,419,495,476,132,800
  5. Step 5: Solve for x
    x = 97,419,495,476,132,800/298,907,999.80
  6. Step 6: Final answer
    x = 325,917,993.30

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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.