Finding the Fourth Proportional to 1,187,352,257.29, 1,638,691,432.53 and 685,560,198.25
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Solution
The fourth proportional to 1,187,352,257.29, 1,638,691,432.53 and 685,560,198.25 is: 946,156,977.81
Step by Step Solution
- Step 1: Write the proportion equation
1,187,352,257.29 : 1,638,691,432.53 = 685,560,198.25 : x - Step 2: Convert to fraction form
1,187,352,257.29/1,638,691,432.53 = 685,560,198.25/x - Step 3: Cross multiply
1,187,352,257.29x = 1,638,691,432.53 × 685,560,198.25 - Step 4: Simplify right side
1,187,352,257.29x = 1,123,421,623,355,303,040 - Step 5: Solve for x
x = 1,123,421,623,355,303,040/1,187,352,257.29 - Step 6: Final answer
x = 946,156,977.81
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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.