Finding the Fourth Proportional to 1,029,289,684.20, 1,544,222,756.70 and 416,304,493.80
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Solution
The fourth proportional to 1,029,289,684.20, 1,544,222,756.70 and 416,304,493.80 is: 624,573,317.80
Step by Step Solution
- Step 1: Write the proportion equation
1,029,289,684.20 : 1,544,222,756.70 = 416,304,493.80 : x - Step 2: Convert to fraction form
1,029,289,684.20/1,544,222,756.70 = 416,304,493.80/x - Step 3: Cross multiply
1,029,289,684.20x = 1,544,222,756.70 × 416,304,493.80 - Step 4: Simplify right side
1,029,289,684.20x = 642,866,873,042,434,048 - Step 5: Solve for x
x = 642,866,873,042,434,048/1,029,289,684.20 - Step 6: Final answer
x = 624,573,317.80
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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.