Finding the Fourth Proportional to 1,275,509,764.26, 1,913,264,668.67 and 306,161,380.26
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Solution
The fourth proportional to 1,275,509,764.26, 1,913,264,668.67 and 306,161,380.26 is: 459,242,075.74
Step by Step Solution
- Step 1: Write the proportion equation
1,275,509,764.26 : 1,913,264,668.67 = 306,161,380.26 : x - Step 2: Convert to fraction form
1,275,509,764.26/1,913,264,668.67 = 306,161,380.26/x - Step 3: Cross multiply
1,275,509,764.26x = 1,913,264,668.67 × 306,161,380.26 - Step 4: Simplify right side
1,275,509,764.26x = 585,767,751,761,168,000 - Step 5: Solve for x
x = 585,767,751,761,168,000/1,275,509,764.26 - Step 6: Final answer
x = 459,242,075.74
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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.