Finding the Fourth Proportional to 1,582,117,325.97, 2,372,944,980.92 and 461,339,811.28
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Solution
The fourth proportional to 1,582,117,325.97, 2,372,944,980.92 and 461,339,811.28 is: 691,942,355.79
Step by Step Solution
- Step 1: Write the proportion equation
1,582,117,325.97 : 2,372,944,980.92 = 461,339,811.28 : x - Step 2: Convert to fraction form
1,582,117,325.97/2,372,944,980.92 = 461,339,811.28/x - Step 3: Cross multiply
1,582,117,325.97x = 2,372,944,980.92 × 461,339,811.28 - Step 4: Simplify right side
1,582,117,325.97x = 1,094,733,989,666,723,328 - Step 5: Solve for x
x = 1,094,733,989,666,723,328/1,582,117,325.97 - Step 6: Final answer
x = 691,942,355.79
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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.