Finding the Fourth Proportional to 515,584,397,593.26, 711,474,410,033.36 and 284,084,961,917.26
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Solution
The fourth proportional to 515,584,397,593.26, 711,474,410,033.36 and 284,084,961,917.26 is: 392,019,583,259.16
Step by Step Solution
- Step 1: Write the proportion equation
515,584,397,593.26 : 711,474,410,033.36 = 284,084,961,917.26 : x - Step 2: Convert to fraction form
515,584,397,593.26/711,474,410,033.36 = 284,084,961,917.26/x - Step 3: Cross multiply
515,584,397,593.26x = 711,474,410,033.36 × 284,084,961,917.26 - Step 4: Simplify right side
515,584,397,593.26x = 202,119,180,679,432,095,399,936 - Step 5: Solve for x
x = 202,119,180,679,432,095,399,936/515,584,397,593.26 - Step 6: Final answer
x = 392,019,583,259.16
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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.