Finding the Fourth Proportional to 200,343,406.88, 300,083,192.16 and 135,289,488.08
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Solution
The fourth proportional to 200,343,406.88, 300,083,192.16 and 135,289,488.08 is: 202,642,562.99
Step by Step Solution
- Step 1: Write the proportion equation
200,343,406.88 : 300,083,192.16 = 135,289,488.08 : x - Step 2: Convert to fraction form
200,343,406.88/300,083,192.16 = 135,289,488.08/x - Step 3: Cross multiply
200,343,406.88x = 300,083,192.16 × 135,289,488.08 - Step 4: Simplify right side
200,343,406.88x = 40,598,101,448,738,680 - Step 5: Solve for x
x = 40,598,101,448,738,680/200,343,406.88 - Step 6: Final answer
x = 202,642,562.99
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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.