Finding the Fourth Proportional to 258,768,980,856.96, 389,919,760,203.84 and 212,638,823,202.24
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Solution
The fourth proportional to 258,768,980,856.96, 389,919,760,203.84 and 212,638,823,202.24 is: 320,409,651,413.65
Step by Step Solution
- Step 1: Write the proportion equation
258,768,980,856.96 : 389,919,760,203.84 = 212,638,823,202.24 : x - Step 2: Convert to fraction form
258,768,980,856.96/389,919,760,203.84 = 212,638,823,202.24/x - Step 3: Cross multiply
258,768,980,856.96x = 389,919,760,203.84 × 212,638,823,202.24 - Step 4: Simplify right side
258,768,980,856.96x = 82,912,078,953,044,150,059,008 - Step 5: Solve for x
x = 82,912,078,953,044,150,059,008/258,768,980,856.96 - Step 6: Final answer
x = 320,409,651,413.65
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.