Finding the Fourth Proportional to 1,542,543,597.26, 2,313,514,107.56 and 493,000,268.20
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Solution
The fourth proportional to 1,542,543,597.26, 2,313,514,107.56 and 493,000,268.20 is: 739,404,109.90
Step by Step Solution
- Step 1: Write the proportion equation
1,542,543,597.26 : 2,313,514,107.56 = 493,000,268.20 : x - Step 2: Convert to fraction form
1,542,543,597.26/2,313,514,107.56 = 493,000,268.20/x - Step 3: Cross multiply
1,542,543,597.26x = 2,313,514,107.56 × 493,000,268.20 - Step 4: Simplify right side
1,542,543,597.26x = 1,140,563,075,511,563,648 - Step 5: Solve for x
x = 1,140,563,075,511,563,648/1,542,543,597.26 - Step 6: Final answer
x = 739,404,109.90
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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.