Finding the Fourth Proportional to 433,112,541.40, 649,668,812.10 and 214,796,578.60
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Solution
The fourth proportional to 433,112,541.40, 649,668,812.10 and 214,796,578.60 is: 322,194,867.90
Step by Step Solution
- Step 1: Write the proportion equation
433,112,541.40 : 649,668,812.10 = 214,796,578.60 : x - Step 2: Convert to fraction form
433,112,541.40/649,668,812.10 = 214,796,578.60/x - Step 3: Cross multiply
433,112,541.40x = 649,668,812.10 × 214,796,578.60 - Step 4: Simplify right side
433,112,541.40x = 139,546,638,062,206,288 - Step 5: Solve for x
x = 139,546,638,062,206,288/433,112,541.40 - Step 6: Final answer
x = 322,194,867.90
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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.