Finding the Fourth Proportional to 177,147,206.40, 265,720,809.60 and 149,087,121.60
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Solution
The fourth proportional to 177,147,206.40, 265,720,809.60 and 149,087,121.60 is: 223,630,682.40
Step by Step Solution
- Step 1: Write the proportion equation
177,147,206.40 : 265,720,809.60 = 149,087,121.60 : x - Step 2: Convert to fraction form
177,147,206.40/265,720,809.60 = 149,087,121.60/x - Step 3: Cross multiply
177,147,206.40x = 265,720,809.60 × 149,087,121.60 - Step 4: Simplify right side
177,147,206.40x = 39,615,550,652,485,648 - Step 5: Solve for x
x = 39,615,550,652,485,648/177,147,206.40 - Step 6: Final answer
x = 223,630,682.40
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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.