Finding the Fourth Proportional to 791,435,436.29, 1,187,163,257.69 and 209,164,651.13
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Solution
The fourth proportional to 791,435,436.29, 1,187,163,257.69 and 209,164,651.13 is: 313,749,646.83
Step by Step Solution
- Step 1: Write the proportion equation
791,435,436.29 : 1,187,163,257.69 = 209,164,651.13 : x - Step 2: Convert to fraction form
791,435,436.29/1,187,163,257.69 = 209,164,651.13/x - Step 3: Cross multiply
791,435,436.29x = 1,187,163,257.69 × 209,164,651.13 - Step 4: Simplify right side
791,435,436.29x = 248,312,588,622,101,504 - Step 5: Solve for x
x = 248,312,588,622,101,504/791,435,436.29 - Step 6: Final answer
x = 313,749,646.83
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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.