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Finding the Fourth Proportional to 298,972,610.10, 448,458,915.15 and 137,729,474.10

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Solution

The fourth proportional to 298,972,610.10, 448,458,915.15 and 137,729,474.10 is: 206,594,211.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,972,610.10 : 448,458,915.15 = 137,729,474.10 : x
  2. Step 2: Convert to fraction form
    298,972,610.10/448,458,915.15 = 137,729,474.10/x
  3. Step 3: Cross multiply
    298,972,610.10x = 448,458,915.15 × 137,729,474.10
  4. Step 4: Simplify right side
    298,972,610.10x = 61,766,010,539,066,016
  5. Step 5: Solve for x
    x = 61,766,010,539,066,016/298,972,610.10
  6. Step 6: Final answer
    x = 206,594,211.15

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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.