Finding the Fourth Proportional to 305,704,905,892.20, 421,874,044,383.28 and 168,524,718,481.62
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Solution
The fourth proportional to 305,704,905,892.20, 421,874,044,383.28 and 168,524,718,481.62 is: 232,564,813,956.45
Step by Step Solution
- Step 1: Write the proportion equation
305,704,905,892.20 : 421,874,044,383.28 = 168,524,718,481.62 : x - Step 2: Convert to fraction form
305,704,905,892.20/421,874,044,383.28 = 168,524,718,481.62/x - Step 3: Cross multiply
305,704,905,892.20x = 421,874,044,383.28 × 168,524,718,481.62 - Step 4: Simplify right side
305,704,905,892.20x = 71,096,204,564,394,722,459,648 - Step 5: Solve for x
x = 71,096,204,564,394,722,459,648/305,704,905,892.20 - Step 6: Final answer
x = 232,564,813,956.45
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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.