Finding the Fourth Proportional to 215,923,162,154.13, 297,830,486,211.45 and 138,858,431,662.97
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Solution
The fourth proportional to 215,923,162,154.13, 297,830,486,211.45 and 138,858,431,662.97 is: 191,532,366,440.71
Step by Step Solution
- Step 1: Write the proportion equation
215,923,162,154.13 : 297,830,486,211.45 = 138,858,431,662.97 : x - Step 2: Convert to fraction form
215,923,162,154.13/297,830,486,211.45 = 138,858,431,662.97/x - Step 3: Cross multiply
215,923,162,154.13x = 297,830,486,211.45 × 138,858,431,662.97 - Step 4: Simplify right side
215,923,162,154.13x = 41,356,274,216,741,764,071,424 - Step 5: Solve for x
x = 41,356,274,216,741,764,071,424/215,923,162,154.13 - Step 6: Final answer
x = 191,532,366,440.71
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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.