Finding the Fourth Proportional to 1,981,443,319.84, 2,972,165,504.58 and 582,427,649.44
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Solution
The fourth proportional to 1,981,443,319.84, 2,972,165,504.58 and 582,427,649.44 is: 873,641,628.43
Step by Step Solution
- Step 1: Write the proportion equation
1,981,443,319.84 : 2,972,165,504.58 = 582,427,649.44 : x - Step 2: Convert to fraction form
1,981,443,319.84/2,972,165,504.58 = 582,427,649.44/x - Step 3: Cross multiply
1,981,443,319.84x = 2,972,165,504.58 × 582,427,649.44 - Step 4: Simplify right side
1,981,443,319.84x = 1,731,071,368,579,181,056 - Step 5: Solve for x
x = 1,731,071,368,579,181,056/1,981,443,319.84 - Step 6: Final answer
x = 873,641,628.43
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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.