Finding the Fourth Proportional to 780,568,230,000.30, 1,169,467,167,136.80 and 326,285,715,343.05
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Solution
The fourth proportional to 780,568,230,000.30, 1,169,467,167,136.80 and 326,285,715,343.05 is: 488,849,554,124.56
Step by Step Solution
- Step 1: Write the proportion equation
780,568,230,000.30 : 1,169,467,167,136.80 = 326,285,715,343.05 : x - Step 2: Convert to fraction form
780,568,230,000.30/1,169,467,167,136.80 = 326,285,715,343.05/x - Step 3: Cross multiply
780,568,230,000.30x = 1,169,467,167,136.80 × 326,285,715,343.05 - Step 4: Simplify right side
780,568,230,000.30x = 381,580,431,199,441,019,469,824 - Step 5: Solve for x
x = 381,580,431,199,441,019,469,824/780,568,230,000.30 - Step 6: Final answer
x = 488,849,554,124.56
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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.