Finding the Fourth Proportional to 512,263,005.12, 706,923,175.29 and 277,313,657.99
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Solution
The fourth proportional to 512,263,005.12, 706,923,175.29 and 277,313,657.99 is: 382,692,971.58
Step by Step Solution
- Step 1: Write the proportion equation
512,263,005.12 : 706,923,175.29 = 277,313,657.99 : x - Step 2: Convert to fraction form
512,263,005.12/706,923,175.29 = 277,313,657.99/x - Step 3: Cross multiply
512,263,005.12x = 706,923,175.29 × 277,313,657.99 - Step 4: Simplify right side
512,263,005.12x = 196,039,451,657,575,872 - Step 5: Solve for x
x = 196,039,451,657,575,872/512,263,005.12 - Step 6: Final answer
x = 382,692,971.58
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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.