Finding the Fourth Proportional to 1,410,106,840.40, 2,115,160,260.60 and 440,756,901.20
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Solution
The fourth proportional to 1,410,106,840.40, 2,115,160,260.60 and 440,756,901.20 is: 661,135,351.80
Step by Step Solution
- Step 1: Write the proportion equation
1,410,106,840.40 : 2,115,160,260.60 = 440,756,901.20 : x - Step 2: Convert to fraction form
1,410,106,840.40/2,115,160,260.60 = 440,756,901.20/x - Step 3: Cross multiply
1,410,106,840.40x = 2,115,160,260.60 × 440,756,901.20 - Step 4: Simplify right side
1,410,106,840.40x = 932,271,482,003,440,384 - Step 5: Solve for x
x = 932,271,482,003,440,384/1,410,106,840.40 - Step 6: Final answer
x = 661,135,351.80
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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.