Finding the Fourth Proportional to 392,426,415,034.05, 541,649,213,149.65 and 255,590,224,732.68
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Solution
The fourth proportional to 392,426,415,034.05, 541,649,213,149.65 and 255,590,224,732.68 is: 352,780,136,126.12
Step by Step Solution
- Step 1: Write the proportion equation
392,426,415,034.05 : 541,649,213,149.65 = 255,590,224,732.68 : x - Step 2: Convert to fraction form
392,426,415,034.05/541,649,213,149.65 = 255,590,224,732.68/x - Step 3: Cross multiply
392,426,415,034.05x = 541,649,213,149.65 × 255,590,224,732.68 - Step 4: Simplify right side
392,426,415,034.05x = 138,440,244,115,198,332,370,944 - Step 5: Solve for x
x = 138,440,244,115,198,332,370,944/392,426,415,034.05 - Step 6: Final answer
x = 352,780,136,126.12
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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.