Finding the Fourth Proportional to 392,256,408.30, 588,384,612.45 and 256,207,512.30
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Solution
The fourth proportional to 392,256,408.30, 588,384,612.45 and 256,207,512.30 is: 384,311,268.45
Step by Step Solution
- Step 1: Write the proportion equation
392,256,408.30 : 588,384,612.45 = 256,207,512.30 : x - Step 2: Convert to fraction form
392,256,408.30/588,384,612.45 = 256,207,512.30/x - Step 3: Cross multiply
392,256,408.30x = 588,384,612.45 × 256,207,512.30 - Step 4: Simplify right side
392,256,408.30x = 150,748,557,831,414,112 - Step 5: Solve for x
x = 150,748,557,831,414,112/392,256,408.30 - Step 6: Final answer
x = 384,311,268.45
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.