Finding the Fourth Proportional to 270,313,998.93, 405,471,662.85 and 76,226,431.32
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Solution
The fourth proportional to 270,313,998.93, 405,471,662.85 and 76,226,431.32 is: 114,339,834.35
Step by Step Solution
- Step 1: Write the proportion equation
270,313,998.93 : 405,471,662.85 = 76,226,431.32 : x - Step 2: Convert to fraction form
270,313,998.93/405,471,662.85 = 76,226,431.32/x - Step 3: Cross multiply
270,313,998.93x = 405,471,662.85 × 76,226,431.32 - Step 4: Simplify right side
270,313,998.93x = 30,907,657,860,441,720 - Step 5: Solve for x
x = 30,907,657,860,441,720/270,313,998.93 - Step 6: Final answer
x = 114,339,834.35
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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.