Finding the Fourth Proportional to 515,584,397,123.70, 711,474,409,384.60 and 284,084,961,448.82
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Solution
The fourth proportional to 515,584,397,123.70, 711,474,409,384.60 and 284,084,961,448.82 is: 392,019,582,612.30
Step by Step Solution
- Step 1: Write the proportion equation
515,584,397,123.70 : 711,474,409,384.60 = 284,084,961,448.82 : x - Step 2: Convert to fraction form
515,584,397,123.70/711,474,409,384.60 = 284,084,961,448.82/x - Step 3: Cross multiply
515,584,397,123.70x = 711,474,409,384.60 × 284,084,961,448.82 - Step 4: Simplify right side
515,584,397,123.70x = 202,119,180,161,846,056,321,024 - Step 5: Solve for x
x = 202,119,180,161,846,056,321,024/515,584,397,123.70 - Step 6: Final answer
x = 392,019,582,612.30
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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.