Finding the Fourth Proportional to 409,481,330.40, 614,221,995.60 and 271,731,823.20
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Solution
The fourth proportional to 409,481,330.40, 614,221,995.60 and 271,731,823.20 is: 407,597,734.80
Step by Step Solution
- Step 1: Write the proportion equation
409,481,330.40 : 614,221,995.60 = 271,731,823.20 : x - Step 2: Convert to fraction form
409,481,330.40/614,221,995.60 = 271,731,823.20/x - Step 3: Cross multiply
409,481,330.40x = 614,221,995.60 × 271,731,823.20 - Step 4: Simplify right side
409,481,330.40x = 166,903,662,713,930,368 - Step 5: Solve for x
x = 166,903,662,713,930,368/409,481,330.40 - Step 6: Final answer
x = 407,597,734.80
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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.