Finding the Fourth Proportional to 1,180,323,962.75, 1,770,570,974.69 and 453,312,674.75
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Solution
The fourth proportional to 1,180,323,962.75, 1,770,570,974.69 and 453,312,674.75 is: 680,001,668.78
Step by Step Solution
- Step 1: Write the proportion equation
1,180,323,962.75 : 1,770,570,974.69 = 453,312,674.75 : x - Step 2: Convert to fraction form
1,180,323,962.75/1,770,570,974.69 = 453,312,674.75/x - Step 3: Cross multiply
1,180,323,962.75x = 1,770,570,974.69 × 453,312,674.75 - Step 4: Simplify right side
1,180,323,962.75x = 802,622,264,371,438,464 - Step 5: Solve for x
x = 802,622,264,371,438,464/1,180,323,962.75 - Step 6: Final answer
x = 680,001,668.78
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1.5x scale
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.