Finding the Fourth Proportional to 1,854,682,823.80, 2,782,024,235.70 and 994,719,431.80
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Solution
The fourth proportional to 1,854,682,823.80, 2,782,024,235.70 and 994,719,431.80 is: 1,492,079,147.70
Step by Step Solution
- Step 1: Write the proportion equation
1,854,682,823.80 : 2,782,024,235.70 = 994,719,431.80 : x - Step 2: Convert to fraction form
1,854,682,823.80/2,782,024,235.70 = 994,719,431.80/x - Step 3: Cross multiply
1,854,682,823.80x = 2,782,024,235.70 × 994,719,431.80 - Step 4: Simplify right side
1,854,682,823.80x = 2,767,333,566,989,332,992 - Step 5: Solve for x
x = 2,767,333,566,989,332,992/1,854,682,823.80 - Step 6: Final answer
x = 1,492,079,147.70
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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.