Finding the Fourth Proportional to 2,497,431,312.16, 3,746,377,245.44 and 816,725,517.36
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Solution
The fourth proportional to 2,497,431,312.16, 3,746,377,245.44 and 816,725,517.36 is: 1,225,163,582.72
Step by Step Solution
- Step 1: Write the proportion equation
2,497,431,312.16 : 3,746,377,245.44 = 816,725,517.36 : x - Step 2: Convert to fraction form
2,497,431,312.16/3,746,377,245.44 = 816,725,517.36/x - Step 3: Cross multiply
2,497,431,312.16x = 3,746,377,245.44 × 816,725,517.36 - Step 4: Simplify right side
2,497,431,312.16x = 3,059,761,894,007,715,840 - Step 5: Solve for x
x = 3,059,761,894,007,715,840/2,497,431,312.16 - Step 6: Final answer
x = 1,225,163,582.72
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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.