Finding the Fourth Proportional to 842,796,569.46, 1,261,676,108.15 and 509,795,815.44
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Solution
The fourth proportional to 842,796,569.46, 1,261,676,108.15 and 509,795,815.44 is: 763,170,169.03
Step by Step Solution
- Step 1: Write the proportion equation
842,796,569.46 : 1,261,676,108.15 = 509,795,815.44 : x - Step 2: Convert to fraction form
842,796,569.46/1,261,676,108.15 = 509,795,815.44/x - Step 3: Cross multiply
842,796,569.46x = 1,261,676,108.15 × 509,795,815.44 - Step 4: Simplify right side
842,796,569.46x = 643,197,200,375,494,912 - Step 5: Solve for x
x = 643,197,200,375,494,912/842,796,569.46 - Step 6: Final answer
x = 763,170,169.03
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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.