Finding the Fourth Proportional to 1,022,170,175.91, 1,533,513,234.29 and 285,239,467.53
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Solution
The fourth proportional to 1,022,170,175.91, 1,533,513,234.29 and 285,239,467.53 is: 427,931,188.67
Step by Step Solution
- Step 1: Write the proportion equation
1,022,170,175.91 : 1,533,513,234.29 = 285,239,467.53 : x - Step 2: Convert to fraction form
1,022,170,175.91/1,533,513,234.29 = 285,239,467.53/x - Step 3: Cross multiply
1,022,170,175.91x = 1,533,513,234.29 × 285,239,467.53 - Step 4: Simplify right side
1,022,170,175.91x = 437,418,498,397,661,504 - Step 5: Solve for x
x = 437,418,498,397,661,504/1,022,170,175.91 - Step 6: Final answer
x = 427,931,188.67
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1.5x scale
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.