Finding the Fourth Proportional to 302,122,083,138.74, 417,116,669,351.19 and 192,318,407,160.78
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Solution
The fourth proportional to 302,122,083,138.74, 417,116,669,351.19 and 192,318,407,160.78 is: 265,519,198,783.60
Step by Step Solution
- Step 1: Write the proportion equation
302,122,083,138.74 : 417,116,669,351.19 = 192,318,407,160.78 : x - Step 2: Convert to fraction form
302,122,083,138.74/417,116,669,351.19 = 192,318,407,160.78/x - Step 3: Cross multiply
302,122,083,138.74x = 417,116,669,351.19 × 192,318,407,160.78 - Step 4: Simplify right side
302,122,083,138.74x = 80,219,213,449,830,602,899,456 - Step 5: Solve for x
x = 80,219,213,449,830,602,899,456/302,122,083,138.74 - Step 6: Final answer
x = 265,519,198,783.60
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1.5x scale
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.