Finding the Fourth Proportional to 296,789,653.49, 409,568,213.11 and 164,629,281.76
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Solution
The fourth proportional to 296,789,653.49, 409,568,213.11 and 164,629,281.76 is: 227,187,571.94
Step by Step Solution
- Step 1: Write the proportion equation
296,789,653.49 : 409,568,213.11 = 164,629,281.76 : x - Step 2: Convert to fraction form
296,789,653.49/409,568,213.11 = 164,629,281.76/x - Step 3: Cross multiply
296,789,653.49x = 409,568,213.11 × 164,629,281.76 - Step 4: Simplify right side
296,789,653.49x = 67,426,920,753,154,928 - Step 5: Solve for x
x = 67,426,920,753,154,928/296,789,653.49 - Step 6: Final answer
x = 227,187,571.94
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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.