Finding the Fourth Proportional to 1,984,275,109.68, 2,738,277,920.92 and 1,092,182,763.12
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Solution
The fourth proportional to 1,984,275,109.68, 2,738,277,920.92 and 1,092,182,763.12 is: 1,507,200,252.26
Step by Step Solution
- Step 1: Write the proportion equation
1,984,275,109.68 : 2,738,277,920.92 = 1,092,182,763.12 : x - Step 2: Convert to fraction form
1,984,275,109.68/2,738,277,920.92 = 1,092,182,763.12/x - Step 3: Cross multiply
1,984,275,109.68x = 2,738,277,920.92 × 1,092,182,763.12 - Step 4: Simplify right side
1,984,275,109.68x = 2,990,699,945,860,894,208 - Step 5: Solve for x
x = 2,990,699,945,860,894,208/1,984,275,109.68 - Step 6: Final answer
x = 1,507,200,252.26
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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.