Finding the Fourth Proportional to 497,027,551,759.99, 685,914,945,148.65 and 288,438,324,656.91
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Solution
The fourth proportional to 497,027,551,759.99, 685,914,945,148.65 and 288,438,324,656.91 is: 398,054,709,311.87
Step by Step Solution
- Step 1: Write the proportion equation
497,027,551,759.99 : 685,914,945,148.65 = 288,438,324,656.91 : x - Step 2: Convert to fraction form
497,027,551,759.99/685,914,945,148.65 = 288,438,324,656.91/x - Step 3: Cross multiply
497,027,551,759.99x = 685,914,945,148.65 × 288,438,324,656.91 - Step 4: Simplify right side
497,027,551,759.99x = 197,844,157,635,812,923,539,456 - Step 5: Solve for x
x = 197,844,157,635,812,923,539,456/497,027,551,759.99 - Step 6: Final answer
x = 398,054,709,311.87
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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.