Finding the Fourth Proportional to 324,641,578,858.20, 486,962,368,287.30 and 274,431,883,483.80
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Solution
The fourth proportional to 324,641,578,858.20, 486,962,368,287.30 and 274,431,883,483.80 is: 411,647,825,225.70
Step by Step Solution
- Step 1: Write the proportion equation
324,641,578,858.20 : 486,962,368,287.30 = 274,431,883,483.80 : x - Step 2: Convert to fraction form
324,641,578,858.20/486,962,368,287.30 = 274,431,883,483.80/x - Step 3: Cross multiply
324,641,578,858.20x = 486,962,368,287.30 × 274,431,883,483.80 - Step 4: Simplify right side
324,641,578,858.20x = 133,637,999,914,815,609,372,672 - Step 5: Solve for x
x = 133,637,999,914,815,609,372,672/324,641,578,858.20 - Step 6: Final answer
x = 411,647,825,225.70
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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.