Finding the Fourth Proportional to 427,436,400,415.35, 641,263,124,971.83 and 197,869,239,531.49
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Solution
The fourth proportional to 427,436,400,415.35, 641,263,124,971.83 and 197,869,239,531.49 is: 296,854,097,485.53
Step by Step Solution
- Step 1: Write the proportion equation
427,436,400,415.35 : 641,263,124,971.83 = 197,869,239,531.49 : x - Step 2: Convert to fraction form
427,436,400,415.35/641,263,124,971.83 = 197,869,239,531.49/x - Step 3: Cross multiply
427,436,400,415.35x = 641,263,124,971.83 × 197,869,239,531.49 - Step 4: Simplify right side
427,436,400,415.35x = 126,886,246,877,762,825,486,336 - Step 5: Solve for x
x = 126,886,246,877,762,825,486,336/427,436,400,415.35 - Step 6: Final answer
x = 296,854,097,485.53
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1.5x scale
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.