Finding the Fourth Proportional to 299,492,165.75, 413,320,575.67 and 165,527,200.09
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Solution
The fourth proportional to 299,492,165.75, 413,320,575.67 and 165,527,200.09 is: 228,439,356.53
Step by Step Solution
- Step 1: Write the proportion equation
299,492,165.75 : 413,320,575.67 = 165,527,200.09 : x - Step 2: Convert to fraction form
299,492,165.75/413,320,575.67 = 165,527,200.09/x - Step 3: Cross multiply
299,492,165.75x = 413,320,575.67 × 165,527,200.09 - Step 4: Simplify right side
299,492,165.75x = 68,415,797,628,794,960 - Step 5: Solve for x
x = 68,415,797,628,794,960/299,492,165.75 - Step 6: Final answer
x = 228,439,356.53
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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.