Finding the Fourth Proportional to 408,156,742.20, 612,235,113.30 and 165,993,439.80
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Solution
The fourth proportional to 408,156,742.20, 612,235,113.30 and 165,993,439.80 is: 248,990,159.70
Step by Step Solution
- Step 1: Write the proportion equation
408,156,742.20 : 612,235,113.30 = 165,993,439.80 : x - Step 2: Convert to fraction form
408,156,742.20/612,235,113.30 = 165,993,439.80/x - Step 3: Cross multiply
408,156,742.20x = 612,235,113.30 × 165,993,439.80 - Step 4: Simplify right side
408,156,742.20x = 101,627,012,423,009,728 - Step 5: Solve for x
x = 101,627,012,423,009,728/408,156,742.20 - Step 6: Final answer
x = 248,990,159.70
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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.