Finding the Fourth Proportional to 505,524,140.60, 758,286,210.90 and 413,691,135.80
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Solution
The fourth proportional to 505,524,140.60, 758,286,210.90 and 413,691,135.80 is: 620,536,703.70
Step by Step Solution
- Step 1: Write the proportion equation
505,524,140.60 : 758,286,210.90 = 413,691,135.80 : x - Step 2: Convert to fraction form
505,524,140.60/758,286,210.90 = 413,691,135.80/x - Step 3: Cross multiply
505,524,140.60x = 758,286,210.90 × 413,691,135.80 - Step 4: Simplify right side
505,524,140.60x = 313,696,283,848,699,328 - Step 5: Solve for x
x = 313,696,283,848,699,328/505,524,140.60 - Step 6: Final answer
x = 620,536,703.70
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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.