Finding the Fourth Proportional to 405,861,406,553.94, 560,089,108,134.93 and 222,970,355,917.70
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Solution
The fourth proportional to 405,861,406,553.94, 560,089,108,134.93 and 222,970,355,917.70 is: 307,699,292,836.99
Step by Step Solution
- Step 1: Write the proportion equation
405,861,406,553.94 : 560,089,108,134.93 = 222,970,355,917.70 : x - Step 2: Convert to fraction form
405,861,406,553.94/560,089,108,134.93 = 222,970,355,917.70/x - Step 3: Cross multiply
405,861,406,553.94x = 560,089,108,134.93 × 222,970,355,917.70 - Step 4: Simplify right side
405,861,406,553.94x = 124,883,267,786,472,526,184,448 - Step 5: Solve for x
x = 124,883,267,786,472,526,184,448/405,861,406,553.94 - Step 6: Final answer
x = 307,699,292,836.99
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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.