Finding the Fourth Proportional to 252,232,278,293.16, 348,081,466,189.32 and 136,489,038,514.20
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Solution
The fourth proportional to 252,232,278,293.16, 348,081,466,189.32 and 136,489,038,514.20 is: 188,355,372,144.62
Step by Step Solution
- Step 1: Write the proportion equation
252,232,278,293.16 : 348,081,466,189.32 = 136,489,038,514.20 : x - Step 2: Convert to fraction form
252,232,278,293.16/348,081,466,189.32 = 136,489,038,514.20/x - Step 3: Cross multiply
252,232,278,293.16x = 348,081,466,189.32 × 136,489,038,514.20 - Step 4: Simplify right side
252,232,278,293.16x = 47,509,304,644,793,299,632,128 - Step 5: Solve for x
x = 47,509,304,644,793,299,632,128/252,232,278,293.16 - Step 6: Final answer
x = 188,355,372,144.62
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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.