Finding the Fourth Proportional to 511,873,874,281.99, 706,377,289,498.84 and 283,498,212,961.08
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Solution
The fourth proportional to 511,873,874,281.99, 706,377,289,498.84 and 283,498,212,961.08 is: 391,222,739,254.11
Step by Step Solution
- Step 1: Write the proportion equation
511,873,874,281.99 : 706,377,289,498.84 = 283,498,212,961.08 : x - Step 2: Convert to fraction form
511,873,874,281.99/706,377,289,498.84 = 283,498,212,961.08/x - Step 3: Cross multiply
511,873,874,281.99x = 706,377,289,498.84 × 283,498,212,961.08 - Step 4: Simplify right side
511,873,874,281.99x = 200,256,699,249,212,608,479,232 - Step 5: Solve for x
x = 200,256,699,249,212,608,479,232/511,873,874,281.99 - Step 6: Final answer
x = 391,222,739,254.11
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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.