Finding the Fourth Proportional to 371,101,723.12, 512,106,347.76 and 206,099,921.44
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Solution
The fourth proportional to 371,101,723.12, 512,106,347.76 and 206,099,921.44 is: 284,410,099.62
Step by Step Solution
- Step 1: Write the proportion equation
371,101,723.12 : 512,106,347.76 = 206,099,921.44 : x - Step 2: Convert to fraction form
371,101,723.12/512,106,347.76 = 206,099,921.44/x - Step 3: Cross multiply
371,101,723.12x = 512,106,347.76 × 206,099,921.44 - Step 4: Simplify right side
371,101,723.12x = 105,545,078,042,261,312 - Step 5: Solve for x
x = 105,545,078,042,261,312/371,101,723.12 - Step 6: Final answer
x = 284,410,099.62
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.