Finding the Fourth Proportional to 252,232,278,296.41, 348,081,466,193.81 and 136,489,038,517.45
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Solution
The fourth proportional to 252,232,278,296.41, 348,081,466,193.81 and 136,489,038,517.45 is: 188,355,372,149.11
Step by Step Solution
- Step 1: Write the proportion equation
252,232,278,296.41 : 348,081,466,193.81 = 136,489,038,517.45 : x - Step 2: Convert to fraction form
252,232,278,296.41/348,081,466,193.81 = 136,489,038,517.45/x - Step 3: Cross multiply
252,232,278,296.41x = 348,081,466,193.81 × 136,489,038,517.45 - Step 4: Simplify right side
252,232,278,296.41x = 47,509,304,646,537,400,287,232 - Step 5: Solve for x
x = 47,509,304,646,537,400,287,232/252,232,278,296.41 - Step 6: Final answer
x = 188,355,372,149.11
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.