Finding the Fourth Proportional to 398,102,241,101.76, 597,578,313,126.60 and 171,573,485,911.92
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Solution
The fourth proportional to 398,102,241,101.76, 597,578,313,126.60 and 171,573,485,911.92 is: 257,543,373,794.49
Step by Step Solution
- Step 1: Write the proportion equation
398,102,241,101.76 : 597,578,313,126.60 = 171,573,485,911.92 : x - Step 2: Convert to fraction form
398,102,241,101.76/597,578,313,126.60 = 171,573,485,911.92/x - Step 3: Cross multiply
398,102,241,101.76x = 597,578,313,126.60 × 171,573,485,911.92 - Step 4: Simplify right side
398,102,241,101.76x = 102,528,594,288,495,627,862,016 - Step 5: Solve for x
x = 102,528,594,288,495,627,862,016/398,102,241,101.76 - Step 6: Final answer
x = 257,543,373,794.49
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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.