Finding the Fourth Proportional to 2,149,202,459.58, 3,224,408,351.13 and 769,213,157.82
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Solution
The fourth proportional to 2,149,202,459.58, 3,224,408,351.13 and 769,213,157.82 is: 1,154,036,149.00
Step by Step Solution
- Step 1: Write the proportion equation
2,149,202,459.58 : 3,224,408,351.13 = 769,213,157.82 : x - Step 2: Convert to fraction form
2,149,202,459.58/3,224,408,351.13 = 769,213,157.82/x - Step 3: Cross multiply
2,149,202,459.58x = 3,224,408,351.13 × 769,213,157.82 - Step 4: Simplify right side
2,149,202,459.58x = 2,480,257,329,873,886,720 - Step 5: Solve for x
x = 2,480,257,329,873,886,720/2,149,202,459.58 - Step 6: Final answer
x = 1,154,036,149.00
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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.