Finding the Fourth Proportional to 510,275,138.24, 764,790,877.44 and 264,496,272.96
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Solution
The fourth proportional to 510,275,138.24, 764,790,877.44 and 264,496,272.96 is: 396,422,089.81
Step by Step Solution
- Step 1: Write the proportion equation
510,275,138.24 : 764,790,877.44 = 264,496,272.96 : x - Step 2: Convert to fraction form
510,275,138.24/764,790,877.44 = 264,496,272.96/x - Step 3: Cross multiply
510,275,138.24x = 764,790,877.44 × 264,496,272.96 - Step 4: Simplify right side
510,275,138.24x = 202,284,336,676,688,160 - Step 5: Solve for x
x = 202,284,336,676,688,160/510,275,138.24 - Step 6: Final answer
x = 396,422,089.81
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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.