Finding the Fourth Proportional to 397,654,571,310.60, 548,763,287,419.26 and 214,751,655,351.48
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Solution
The fourth proportional to 397,654,571,310.60, 548,763,287,419.26 and 214,751,655,351.48 is: 296,357,273,049.82
Step by Step Solution
- Step 1: Write the proportion equation
397,654,571,310.60 : 548,763,287,419.26 = 214,751,655,351.48 : x - Step 2: Convert to fraction form
397,654,571,310.60/548,763,287,419.26 = 214,751,655,351.48/x - Step 3: Cross multiply
397,654,571,310.60x = 548,763,287,419.26 × 214,751,655,351.48 - Step 4: Simplify right side
397,654,571,310.60x = 117,847,824,369,406,095,392,768 - Step 5: Solve for x
x = 117,847,824,369,406,095,392,768/397,654,571,310.60 - Step 6: Final answer
x = 296,357,273,049.82
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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.