Finding the Fourth Proportional to 278,307,846.84, 384,195,588.91 and 160,810,448.99
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Solution
The fourth proportional to 278,307,846.84, 384,195,588.91 and 160,810,448.99 is: 221,993,974.84
Step by Step Solution
- Step 1: Write the proportion equation
278,307,846.84 : 384,195,588.91 = 160,810,448.99 : x - Step 2: Convert to fraction form
278,307,846.84/384,195,588.91 = 160,810,448.99/x - Step 3: Cross multiply
278,307,846.84x = 384,195,588.91 × 160,810,448.99 - Step 4: Simplify right side
278,307,846.84x = 61,782,665,150,271,568 - Step 5: Solve for x
x = 61,782,665,150,271,568/278,307,846.84 - Step 6: Final answer
x = 221,993,974.84
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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.