Finding the Fourth Proportional to 1,188,348,815.09, 1,782,728,682.39 and 401,408,198.75
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Solution
The fourth proportional to 1,188,348,815.09, 1,782,728,682.39 and 401,408,198.75 is: 602,181,699.66
Step by Step Solution
- Step 1: Write the proportion equation
1,188,348,815.09 : 1,782,728,682.39 = 401,408,198.75 : x - Step 2: Convert to fraction form
1,188,348,815.09/1,782,728,682.39 = 401,408,198.75/x - Step 3: Cross multiply
1,188,348,815.09x = 1,782,728,682.39 × 401,408,198.75 - Step 4: Simplify right side
1,188,348,815.09x = 715,601,909,262,587,648 - Step 5: Solve for x
x = 715,601,909,262,587,648/1,188,348,815.09 - Step 6: Final answer
x = 602,181,699.66
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.