Finding the Fourth Proportional to 512,182,192.44, 706,878,709.74 and 292,115,171.64
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Solution
The fourth proportional to 512,182,192.44, 706,878,709.74 and 292,115,171.64 is: 403,157,311.35
Step by Step Solution
- Step 1: Write the proportion equation
512,182,192.44 : 706,878,709.74 = 292,115,171.64 : x - Step 2: Convert to fraction form
512,182,192.44/706,878,709.74 = 292,115,171.64/x - Step 3: Cross multiply
512,182,192.44x = 706,878,709.74 × 292,115,171.64 - Step 4: Simplify right side
512,182,192.44x = 206,489,995,624,361,824 - Step 5: Solve for x
x = 206,489,995,624,361,824/512,182,192.44 - Step 6: Final answer
x = 403,157,311.35
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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.