Finding the Fourth Proportional to 517,311,922,701.45, 713,882,855,847.50 and 288,944,497,403.84
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Solution
The fourth proportional to 517,311,922,701.45, 713,882,855,847.50 and 288,944,497,403.84 is: 398,739,162,845.70
Step by Step Solution
- Step 1: Write the proportion equation
517,311,922,701.45 : 713,882,855,847.50 = 288,944,497,403.84 : x - Step 2: Convert to fraction form
517,311,922,701.45/713,882,855,847.50 = 288,944,497,403.84/x - Step 3: Cross multiply
517,311,922,701.45x = 713,882,855,847.50 × 288,944,497,403.84 - Step 4: Simplify right side
517,311,922,701.45x = 206,272,522,988,073,873,571,840 - Step 5: Solve for x
x = 206,272,522,988,073,873,571,840/517,311,922,701.45 - Step 6: Final answer
x = 398,739,162,845.70
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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.