Finding the Fourth Proportional to 1,561,415,926,634.70, 2,340,892,103,546.20 and 986,520,282,567.38
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Solution
The fourth proportional to 1,561,415,926,634.70, 2,340,892,103,546.20 and 986,520,282,567.38 is: 1,479,002,167,236.40
Step by Step Solution
- Step 1: Write the proportion equation
1,561,415,926,634.70 : 2,340,892,103,546.20 = 986,520,282,567.38 : x - Step 2: Convert to fraction form
1,561,415,926,634.70/2,340,892,103,546.20 = 986,520,282,567.38/x - Step 3: Cross multiply
1,561,415,926,634.70x = 2,340,892,103,546.20 × 986,520,282,567.38 - Step 4: Simplify right side
1,561,415,926,634.70x = 2,309,337,539,450,146,098,511,872 - Step 5: Solve for x
x = 2,309,337,539,450,146,098,511,872/1,561,415,926,634.70 - Step 6: Final answer
x = 1,479,002,167,236.40
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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.