Finding the Fourth Proportional to 206,719,067,863.80, 310,078,601,795.70 and 173,659,186,135.80
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Solution
The fourth proportional to 206,719,067,863.80, 310,078,601,795.70 and 173,659,186,135.80 is: 260,488,779,203.70
Step by Step Solution
- Step 1: Write the proportion equation
206,719,067,863.80 : 310,078,601,795.70 = 173,659,186,135.80 : x - Step 2: Convert to fraction form
206,719,067,863.80/310,078,601,795.70 = 173,659,186,135.80/x - Step 3: Cross multiply
206,719,067,863.80x = 310,078,601,795.70 × 173,659,186,135.80 - Step 4: Simplify right side
206,719,067,863.80x = 53,847,997,625,968,069,967,872 - Step 5: Solve for x
x = 53,847,997,625,968,069,967,872/206,719,067,863.80 - Step 6: Final answer
x = 260,488,779,203.70
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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.