Finding the Fourth Proportional to 828,000.20, 1,242,000.30 and 296,121.80
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Solution
The fourth proportional to 828,000.20, 1,242,000.30 and 296,121.80 is: 444,182.70
Step by Step Solution
- Step 1: Write the proportion equation
828,000.20 : 1,242,000.30 = 296,121.80 : x - Step 2: Convert to fraction form
828,000.20/1,242,000.30 = 296,121.80/x - Step 3: Cross multiply
828,000.20x = 1,242,000.30 × 296,121.80 - Step 4: Simplify right side
828,000.20x = 367,783,364,436.54 - Step 5: Solve for x
x = 367,783,364,436.54/828,000.20 - Step 6: Final answer
x = 444,182.70
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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.