Finding the Fourth Proportional to 512,161,760.92, 768,243,195.42 and 239,723,846.68
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Solution
The fourth proportional to 512,161,760.92, 768,243,195.42 and 239,723,846.68 is: 359,586,029.35
Step by Step Solution
- Step 1: Write the proportion equation
512,161,760.92 : 768,243,195.42 = 239,723,846.68 : x - Step 2: Convert to fraction form
512,161,760.92/768,243,195.42 = 239,723,846.68/x - Step 3: Cross multiply
512,161,760.92x = 768,243,195.42 × 239,723,846.68 - Step 4: Simplify right side
512,161,760.92x = 184,166,213,991,817,344 - Step 5: Solve for x
x = 184,166,213,991,817,344/512,161,760.92 - Step 6: Final answer
x = 359,586,029.35
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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.