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Finding the Fourth Proportional to 298,972,616.60, 448,458,924.90 and 137,729,480.60

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Solution

The fourth proportional to 298,972,616.60, 448,458,924.90 and 137,729,480.60 is: 206,594,220.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,972,616.60 : 448,458,924.90 = 137,729,480.60 : x
  2. Step 2: Convert to fraction form
    298,972,616.60/448,458,924.90 = 137,729,480.60/x
  3. Step 3: Cross multiply
    298,972,616.60x = 448,458,924.90 × 137,729,480.60
  4. Step 4: Simplify right side
    298,972,616.60x = 61,766,014,796,911,400
  5. Step 5: Solve for x
    x = 61,766,014,796,911,400/298,972,616.60
  6. Step 6: Final answer
    x = 206,594,220.90

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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.