Finding the Fourth Proportional to 256,102,846.35, 384,128,416.25 and 173,634,114.84
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Solution
The fourth proportional to 256,102,846.35, 384,128,416.25 and 173,634,114.84 is: 260,433,644.10
Step by Step Solution
- Step 1: Write the proportion equation
256,102,846.35 : 384,128,416.25 = 173,634,114.84 : x - Step 2: Convert to fraction form
256,102,846.35/384,128,416.25 = 173,634,114.84/x - Step 3: Cross multiply
256,102,846.35x = 384,128,416.25 × 173,634,114.84 - Step 4: Simplify right side
256,102,846.35x = 66,697,797,539,591,656 - Step 5: Solve for x
x = 66,697,797,539,591,656/256,102,846.35 - Step 6: Final answer
x = 260,433,644.10
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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.