Finding the Fourth Proportional to 3,148,288,764.81, 4,344,640,144.75 and 1,719,379,433.13
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Solution
The fourth proportional to 3,148,288,764.81, 4,344,640,144.75 and 1,719,379,433.13 is: 2,372,744,518.46
Step by Step Solution
- Step 1: Write the proportion equation
3,148,288,764.81 : 4,344,640,144.75 = 1,719,379,433.13 : x - Step 2: Convert to fraction form
3,148,288,764.81/4,344,640,144.75 = 1,719,379,433.13/x - Step 3: Cross multiply
3,148,288,764.81x = 4,344,640,144.75 × 1,719,379,433.13 - Step 4: Simplify right side
3,148,288,764.81x = 7,470,084,909,234,097,152 - Step 5: Solve for x
x = 7,470,084,909,234,097,152/3,148,288,764.81 - Step 6: Final answer
x = 2,372,744,518.46
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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.