Finding the Fourth Proportional to 299,934,867.76, 413,729,130.74 and 198,093,168.20
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Solution
The fourth proportional to 299,934,867.76, 413,729,130.74 and 198,093,168.20 is: 273,249,038.69
Step by Step Solution
- Step 1: Write the proportion equation
299,934,867.76 : 413,729,130.74 = 198,093,168.20 : x - Step 2: Convert to fraction form
299,934,867.76/413,729,130.74 = 198,093,168.20/x - Step 3: Cross multiply
299,934,867.76x = 413,729,130.74 × 198,093,168.20 - Step 4: Simplify right side
299,934,867.76x = 81,956,914,284,918,608 - Step 5: Solve for x
x = 81,956,914,284,918,608/299,934,867.76 - Step 6: Final answer
x = 273,249,038.69
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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.