Finding the Fourth Proportional to 251,765,086,462.92, 347,471,257,032.80 and 160,284,415,236.12
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Solution
The fourth proportional to 251,765,086,462.92, 347,471,257,032.80 and 160,284,415,236.12 is: 221,215,054,189.27
Step by Step Solution
- Step 1: Write the proportion equation
251,765,086,462.92 : 347,471,257,032.80 = 160,284,415,236.12 : x - Step 2: Convert to fraction form
251,765,086,462.92/347,471,257,032.80 = 160,284,415,236.12/x - Step 3: Cross multiply
251,765,086,462.92x = 347,471,257,032.80 × 160,284,415,236.12 - Step 4: Simplify right side
251,765,086,462.92x = 55,694,227,244,861,890,756,608 - Step 5: Solve for x
x = 55,694,227,244,861,890,756,608/251,765,086,462.92 - Step 6: Final answer
x = 221,215,054,189.27
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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.