Finding the Fourth Proportional to 512,486,809.14, 768,861,302.45 and 148,981,165.14
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Solution
The fourth proportional to 512,486,809.14, 768,861,302.45 and 148,981,165.14 is: 223,509,855.52
Step by Step Solution
- Step 1: Write the proportion equation
512,486,809.14 : 768,861,302.45 = 148,981,165.14 : x - Step 2: Convert to fraction form
512,486,809.14/768,861,302.45 = 148,981,165.14/x - Step 3: Cross multiply
512,486,809.14x = 768,861,302.45 × 148,981,165.14 - Step 4: Simplify right side
512,486,809.14x = 114,545,852,669,314,032 - Step 5: Solve for x
x = 114,545,852,669,314,032/512,486,809.14 - Step 6: Final answer
x = 223,509,855.52
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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.