Finding the Fourth Proportional to 897,107,306,107.75, 1,238,008,142,829.50 and 491,114,847,421.75
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Solution
The fourth proportional to 897,107,306,107.75, 1,238,008,142,829.50 and 491,114,847,421.75 is: 677,738,522,508.00
Step by Step Solution
- Step 1: Write the proportion equation
897,107,306,107.75 : 1,238,008,142,829.50 = 491,114,847,421.75 : x - Step 2: Convert to fraction form
897,107,306,107.75/1,238,008,142,829.50 = 491,114,847,421.75/x - Step 3: Cross multiply
897,107,306,107.75x = 1,238,008,142,829.50 × 491,114,847,421.75 - Step 4: Simplify right side
897,107,306,107.75x = 608,004,180,172,593,979,981,824 - Step 5: Solve for x
x = 608,004,180,172,593,979,981,824/897,107,306,107.75 - Step 6: Final answer
x = 677,738,522,508.00
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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.