Finding the Fourth Proportional to 392,426,415,127.04, 541,649,213,278.20 and 255,590,224,825.92
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Solution
The fourth proportional to 392,426,415,127.04, 541,649,213,278.20 and 255,590,224,825.92 is: 352,780,136,254.95
Step by Step Solution
- Step 1: Write the proportion equation
392,426,415,127.04 : 541,649,213,278.20 = 255,590,224,825.92 : x - Step 2: Convert to fraction form
392,426,415,127.04/541,649,213,278.20 = 255,590,224,825.92/x - Step 3: Cross multiply
392,426,415,127.04x = 541,649,213,278.20 × 255,590,224,825.92 - Step 4: Simplify right side
392,426,415,127.04x = 138,440,244,198,557,842,669,568 - Step 5: Solve for x
x = 138,440,244,198,557,842,669,568/392,426,415,127.04 - Step 6: Final answer
x = 352,780,136,254.95
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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.