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Finding the Fourth Proportional to 298,972,609.60, 448,458,914.40 and 137,729,473.60

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Solution

The fourth proportional to 298,972,609.60, 448,458,914.40 and 137,729,473.60 is: 206,594,210.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,972,609.60 : 448,458,914.40 = 137,729,473.60 : x
  2. Step 2: Convert to fraction form
    298,972,609.60/448,458,914.40 = 137,729,473.60/x
  3. Step 3: Cross multiply
    298,972,609.60x = 448,458,914.40 × 137,729,473.60
  4. Step 4: Simplify right side
    298,972,609.60x = 61,766,010,211,539,456
  5. Step 5: Solve for x
    x = 61,766,010,211,539,456/298,972,609.60
  6. Step 6: Final answer
    x = 206,594,210.40

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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.