Finding the Fourth Proportional to 405,998,442.99, 561,302,493.48 and 299,984,651.28
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Solution
The fourth proportional to 405,998,442.99, 561,302,493.48 and 299,984,651.28 is: 414,735,907.68
Step by Step Solution
- Step 1: Write the proportion equation
405,998,442.99 : 561,302,493.48 = 299,984,651.28 : x - Step 2: Convert to fraction form
405,998,442.99/561,302,493.48 = 299,984,651.28/x - Step 3: Cross multiply
405,998,442.99x = 561,302,493.48 × 299,984,651.28 - Step 4: Simplify right side
405,998,442.99x = 168,382,132,769,192,256 - Step 5: Solve for x
x = 168,382,132,769,192,256/405,998,442.99 - Step 6: Final answer
x = 414,735,907.68
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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.