Finding the Fourth Proportional to 428,725,493.68, 642,829,322.94 and 192,331,728.94
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Solution
The fourth proportional to 428,725,493.68, 642,829,322.94 and 192,331,728.94 is: 288,381,439.68
Step by Step Solution
- Step 1: Write the proportion equation
428,725,493.68 : 642,829,322.94 = 192,331,728.94 : x - Step 2: Convert to fraction form
428,725,493.68/642,829,322.94 = 192,331,728.94/x - Step 3: Cross multiply
428,725,493.68x = 642,829,322.94 × 192,331,728.94 - Step 4: Simplify right side
428,725,493.68x = 123,636,475,094,379,808 - Step 5: Solve for x
x = 123,636,475,094,379,808/428,725,493.68 - Step 6: Final answer
x = 288,381,439.68
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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.