Finding the Fourth Proportional to 822,857,017,882.44, 1,234,289,687,372.90 and 256,847,257,786.44
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Solution
The fourth proportional to 822,857,017,882.44, 1,234,289,687,372.90 and 256,847,257,786.44 is: 385,272,185,356.88
Step by Step Solution
- Step 1: Write the proportion equation
822,857,017,882.44 : 1,234,289,687,372.90 = 256,847,257,786.44 : x - Step 2: Convert to fraction form
822,857,017,882.44/1,234,289,687,372.90 = 256,847,257,786.44/x - Step 3: Cross multiply
822,857,017,882.44x = 1,234,289,687,372.90 × 256,847,257,786.44 - Step 4: Simplify right side
822,857,017,882.44x = 317,023,921,515,811,676,618,752 - Step 5: Solve for x
x = 317,023,921,515,811,676,618,752/822,857,017,882.44 - Step 6: Final answer
x = 385,272,185,356.88
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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.