Finding the Fourth Proportional to 1,410,106,840.90, 2,115,160,261.35 and 440,756,901.70
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Solution
The fourth proportional to 1,410,106,840.90, 2,115,160,261.35 and 440,756,901.70 is: 661,135,352.55
Step by Step Solution
- Step 1: Write the proportion equation
1,410,106,840.90 : 2,115,160,261.35 = 440,756,901.70 : x - Step 2: Convert to fraction form
1,410,106,840.90/2,115,160,261.35 = 440,756,901.70/x - Step 3: Cross multiply
1,410,106,840.90x = 2,115,160,261.35 × 440,756,901.70 - Step 4: Simplify right side
1,410,106,840.90x = 932,271,483,391,588,224 - Step 5: Solve for x
x = 932,271,483,391,588,224/1,410,106,840.90 - Step 6: Final answer
x = 661,135,352.55
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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.