Finding the Fourth Proportional to 310,428,201.40, 465,642,302.10 and 213,682,319.80
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Solution
The fourth proportional to 310,428,201.40, 465,642,302.10 and 213,682,319.80 is: 320,523,479.70
Step by Step Solution
- Step 1: Write the proportion equation
310,428,201.40 : 465,642,302.10 = 213,682,319.80 : x - Step 2: Convert to fraction form
310,428,201.40/465,642,302.10 = 213,682,319.80/x - Step 3: Cross multiply
310,428,201.40x = 465,642,302.10 × 213,682,319.80 - Step 4: Simplify right side
310,428,201.40x = 99,499,527,309,740,416 - Step 5: Solve for x
x = 99,499,527,309,740,416/310,428,201.40 - Step 6: Final answer
x = 320,523,479.70
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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.