Finding the Fourth Proportional to 427,146,133,723.14, 589,462,248,261.82 and 231,829,418,610.54
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Solution
The fourth proportional to 427,146,133,723.14, 589,462,248,261.82 and 231,829,418,610.54 is: 319,924,914,493.02
Step by Step Solution
- Step 1: Write the proportion equation
427,146,133,723.14 : 589,462,248,261.82 = 231,829,418,610.54 : x - Step 2: Convert to fraction form
427,146,133,723.14/589,462,248,261.82 = 231,829,418,610.54/x - Step 3: Cross multiply
427,146,133,723.14x = 589,462,248,261.82 × 231,829,418,610.54 - Step 4: Simplify right side
427,146,133,723.14x = 136,654,690,307,399,508,557,824 - Step 5: Solve for x
x = 136,654,690,307,399,508,557,824/427,146,133,723.14 - Step 6: Final answer
x = 319,924,914,493.02
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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.