Finding the Fourth Proportional to 427,468,153.68, 641,616,863.58 and 206,295,142.38
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Solution
The fourth proportional to 427,468,153.68, 641,616,863.58 and 206,295,142.38 is: 309,642,814.53
Step by Step Solution
- Step 1: Write the proportion equation
427,468,153.68 : 641,616,863.58 = 206,295,142.38 : x - Step 2: Convert to fraction form
427,468,153.68/641,616,863.58 = 206,295,142.38/x - Step 3: Cross multiply
427,468,153.68x = 641,616,863.58 × 206,295,142.38 - Step 4: Simplify right side
427,468,153.68x = 132,362,442,225,645,136 - Step 5: Solve for x
x = 132,362,442,225,645,136/427,468,153.68 - Step 6: Final answer
x = 309,642,814.53
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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.