Finding the Fourth Proportional to 380,122,194.24, 524,568,627.84 and 206,281,938.24
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Solution
The fourth proportional to 380,122,194.24, 524,568,627.84 and 206,281,938.24 is: 284,669,074.66
Step by Step Solution
- Step 1: Write the proportion equation
380,122,194.24 : 524,568,627.84 = 206,281,938.24 : x - Step 2: Convert to fraction form
380,122,194.24/524,568,627.84 = 206,281,938.24/x - Step 3: Cross multiply
380,122,194.24x = 524,568,627.84 × 206,281,938.24 - Step 4: Simplify right side
380,122,194.24x = 108,209,033,290,732,432 - Step 5: Solve for x
x = 108,209,033,290,732,432/380,122,194.24 - Step 6: Final answer
x = 284,669,074.66
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1.5x scale
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.