Finding the Fourth Proportional to 507,220,404,775.44, 699,964,608,868.20 and 278,853,532,135.44
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Solution
The fourth proportional to 507,220,404,775.44, 699,964,608,868.20 and 278,853,532,135.44 is: 384,818,121,895.38
Step by Step Solution
- Step 1: Write the proportion equation
507,220,404,775.44 : 699,964,608,868.20 = 278,853,532,135.44 : x - Step 2: Convert to fraction form
507,220,404,775.44/699,964,608,868.20 = 278,853,532,135.44/x - Step 3: Cross multiply
507,220,404,775.44x = 699,964,608,868.20 × 278,853,532,135.44 - Step 4: Simplify right side
507,220,404,775.44x = 195,187,603,552,699,284,455,424 - Step 5: Solve for x
x = 195,187,603,552,699,284,455,424/507,220,404,775.44 - Step 6: Final answer
x = 384,818,121,895.38
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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.