Finding the Fourth Proportional to 312,998,960.70, 471,748,230.81 and 269,801,107.07
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Solution
The fourth proportional to 312,998,960.70, 471,748,230.81 and 269,801,107.07 is: 406,640,950.64
Step by Step Solution
- Step 1: Write the proportion equation
312,998,960.70 : 471,748,230.81 = 269,801,107.07 : x - Step 2: Convert to fraction form
312,998,960.70/471,748,230.81 = 269,801,107.07/x - Step 3: Cross multiply
312,998,960.70x = 471,748,230.81 × 269,801,107.07 - Step 4: Simplify right side
312,998,960.70x = 127,278,194,928,493,136 - Step 5: Solve for x
x = 127,278,194,928,493,136/312,998,960.70 - Step 6: Final answer
x = 406,640,950.64
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Why These Related Problems?
These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.