Finding the Fourth Proportional to 517,311,922,701.44, 713,882,855,847.48 and 288,944,497,403.84
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Solution
The fourth proportional to 517,311,922,701.44, 713,882,855,847.48 and 288,944,497,403.84 is: 398,739,162,845.69
Step by Step Solution
- Step 1: Write the proportion equation
517,311,922,701.44 : 713,882,855,847.48 = 288,944,497,403.84 : x - Step 2: Convert to fraction form
517,311,922,701.44/713,882,855,847.48 = 288,944,497,403.84/x - Step 3: Cross multiply
517,311,922,701.44x = 713,882,855,847.48 × 288,944,497,403.84 - Step 4: Simplify right side
517,311,922,701.44x = 206,272,522,988,068,068,655,104 - Step 5: Solve for x
x = 206,272,522,988,068,068,655,104/517,311,922,701.44 - Step 6: Final answer
x = 398,739,162,845.69
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.