Finding the Fourth Proportional to 272,558,431,165.22, 408,472,197,967.21 and 212,125,682,841.18
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Solution
The fourth proportional to 272,558,431,165.22, 408,472,197,967.21 and 212,125,682,841.18 is: 317,904,104,250.25
Step by Step Solution
- Step 1: Write the proportion equation
272,558,431,165.22 : 408,472,197,967.21 = 212,125,682,841.18 : x - Step 2: Convert to fraction form
272,558,431,165.22/408,472,197,967.21 = 212,125,682,841.18/x - Step 3: Cross multiply
272,558,431,165.22x = 408,472,197,967.21 × 212,125,682,841.18 - Step 4: Simplify right side
272,558,431,165.22x = 86,647,443,915,432,081,227,776 - Step 5: Solve for x
x = 86,647,443,915,432,081,227,776/272,558,431,165.22 - Step 6: Final answer
x = 317,904,104,250.25
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1.5x scale
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.