Finding the Fourth Proportional to 1,083,357,006.05, 1,624,523,243.21 and 419,681,873.09
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Solution
The fourth proportional to 1,083,357,006.05, 1,624,523,243.21 and 419,681,873.09 is: 629,324,362.87
Step by Step Solution
- Step 1: Write the proportion equation
1,083,357,006.05 : 1,624,523,243.21 = 419,681,873.09 : x - Step 2: Convert to fraction form
1,083,357,006.05/1,624,523,243.21 = 419,681,873.09/x - Step 3: Cross multiply
1,083,357,006.05x = 1,624,523,243.21 × 419,681,873.09 - Step 4: Simplify right side
1,083,357,006.05x = 681,782,957,592,172,160 - Step 5: Solve for x
x = 681,782,957,592,172,160/1,083,357,006.05 - Step 6: Final answer
x = 629,324,362.87
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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.