Finding the Fourth Proportional to 319,887,922,759.42, 479,996,853,168.60 and 149,924,778,875.68
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Solution
The fourth proportional to 319,887,922,759.42, 479,996,853,168.60 and 149,924,778,875.68 is: 224,964,485,847.27
Step by Step Solution
- Step 1: Write the proportion equation
319,887,922,759.42 : 479,996,853,168.60 = 149,924,778,875.68 : x - Step 2: Convert to fraction form
319,887,922,759.42/479,996,853,168.60 = 149,924,778,875.68/x - Step 3: Cross multiply
319,887,922,759.42x = 479,996,853,168.60 × 149,924,778,875.68 - Step 4: Simplify right side
319,887,922,759.42x = 71,963,422,072,324,585,684,992 - Step 5: Solve for x
x = 71,963,422,072,324,585,684,992/319,887,922,759.42 - Step 6: Final answer
x = 224,964,485,847.27
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.