Finding the Fourth Proportional to 1,327,206,766.97, 1,990,588,190.78 and 486,675,820.13
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Solution
The fourth proportional to 1,327,206,766.97, 1,990,588,190.78 and 486,675,820.13 is: 729,932,339.40
Step by Step Solution
- Step 1: Write the proportion equation
1,327,206,766.97 : 1,990,588,190.78 = 486,675,820.13 : x - Step 2: Convert to fraction form
1,327,206,766.97/1,990,588,190.78 = 486,675,820.13/x - Step 3: Cross multiply
1,327,206,766.97x = 1,990,588,190.78 × 486,675,820.13 - Step 4: Simplify right side
1,327,206,766.97x = 968,771,140,280,213,120 - Step 5: Solve for x
x = 968,771,140,280,213,120/1,327,206,766.97 - Step 6: Final answer
x = 729,932,339.40
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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.