Finding the Fourth Proportional to 300,202,245,635.36, 450,379,588,571.60 and 138,969,891,214.88
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Solution
The fourth proportional to 300,202,245,635.36, 450,379,588,571.60 and 138,969,891,214.88 is: 208,490,120,707.56
Step by Step Solution
- Step 1: Write the proportion equation
300,202,245,635.36 : 450,379,588,571.60 = 138,969,891,214.88 : x - Step 2: Convert to fraction form
300,202,245,635.36/450,379,588,571.60 = 138,969,891,214.88/x - Step 3: Cross multiply
300,202,245,635.36x = 450,379,588,571.60 × 138,969,891,214.88 - Step 4: Simplify right side
300,202,245,635.36x = 62,589,202,429,197,659,668,480 - Step 5: Solve for x
x = 62,589,202,429,197,659,668,480/300,202,245,635.36 - Step 6: Final answer
x = 208,490,120,707.56
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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.