Finding the Fourth Proportional to 431,242,331.20, 646,863,496.80 and 201,659,819.20
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Solution
The fourth proportional to 431,242,331.20, 646,863,496.80 and 201,659,819.20 is: 302,489,728.80
Step by Step Solution
- Step 1: Write the proportion equation
431,242,331.20 : 646,863,496.80 = 201,659,819.20 : x - Step 2: Convert to fraction form
431,242,331.20/646,863,496.80 = 201,659,819.20/x - Step 3: Cross multiply
431,242,331.20x = 646,863,496.80 × 201,659,819.20 - Step 4: Simplify right side
431,242,331.20x = 130,446,375,811,767,760 - Step 5: Solve for x
x = 130,446,375,811,767,760/431,242,331.20 - Step 6: Final answer
x = 302,489,728.80
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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.