Finding the Fourth Proportional to 2,909,497,200.75, 4,364,283,592.49 and 970,800,432.75
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Solution
The fourth proportional to 2,909,497,200.75, 4,364,283,592.49 and 970,800,432.75 is: 1,456,213,258.82
Step by Step Solution
- Step 1: Write the proportion equation
2,909,497,200.75 : 4,364,283,592.49 = 970,800,432.75 : x - Step 2: Convert to fraction form
2,909,497,200.75/4,364,283,592.49 = 970,800,432.75/x - Step 3: Cross multiply
2,909,497,200.75x = 4,364,283,592.49 × 970,800,432.75 - Step 4: Simplify right side
2,909,497,200.75x = 4,236,848,400,228,162,560 - Step 5: Solve for x
x = 4,236,848,400,228,162,560/2,909,497,200.75 - Step 6: Final answer
x = 1,456,213,258.82
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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.