Finding the Fourth Proportional to 330,224,304,347.97, 455,702,397,343.08 and 191,181,449,615.28
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Solution
The fourth proportional to 330,224,304,347.97, 455,702,397,343.08 and 191,181,449,615.28 is: 263,826,265,269.09
Step by Step Solution
- Step 1: Write the proportion equation
330,224,304,347.97 : 455,702,397,343.08 = 191,181,449,615.28 : x - Step 2: Convert to fraction form
330,224,304,347.97/455,702,397,343.08 = 191,181,449,615.28/x - Step 3: Cross multiply
330,224,304,347.97x = 455,702,397,343.08 × 191,181,449,615.28 - Step 4: Simplify right side
330,224,304,347.97x = 87,121,844,917,208,350,720,000 - Step 5: Solve for x
x = 87,121,844,917,208,350,720,000/330,224,304,347.97 - Step 6: Final answer
x = 263,826,265,269.09
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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.