Finding the Fourth Proportional to 319,887,922,762.42, 479,996,853,173.10 and 149,924,778,878.68
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Solution
The fourth proportional to 319,887,922,762.42, 479,996,853,173.10 and 149,924,778,878.68 is: 224,964,485,851.77
Step by Step Solution
- Step 1: Write the proportion equation
319,887,922,762.42 : 479,996,853,173.10 = 149,924,778,878.68 : x - Step 2: Convert to fraction form
319,887,922,762.42/479,996,853,173.10 = 149,924,778,878.68/x - Step 3: Cross multiply
319,887,922,762.42x = 479,996,853,173.10 × 149,924,778,878.68 - Step 4: Simplify right side
319,887,922,762.42x = 71,963,422,074,439,244,709,888 - Step 5: Solve for x
x = 71,963,422,074,439,244,709,888/319,887,922,762.42 - Step 6: Final answer
x = 224,964,485,851.77
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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.