Finding the Fourth Proportional to 204,129,745.20, 306,194,617.80 and 146,734,117.20
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Solution
The fourth proportional to 204,129,745.20, 306,194,617.80 and 146,734,117.20 is: 220,101,175.80
Step by Step Solution
- Step 1: Write the proportion equation
204,129,745.20 : 306,194,617.80 = 146,734,117.20 : x - Step 2: Convert to fraction form
204,129,745.20/306,194,617.80 = 146,734,117.20/x - Step 3: Cross multiply
204,129,745.20x = 306,194,617.80 × 146,734,117.20 - Step 4: Simplify right side
204,129,745.20x = 44,929,196,934,274,408 - Step 5: Solve for x
x = 44,929,196,934,274,408/204,129,745.20 - Step 6: Final answer
x = 220,101,175.80
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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.