Finding the Fourth Proportional to 305,980,784.58, 422,241,164.11 and 166,748,556.99
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Solution
The fourth proportional to 305,980,784.58, 422,241,164.11 and 166,748,556.99 is: 230,106,295.45
Step by Step Solution
- Step 1: Write the proportion equation
305,980,784.58 : 422,241,164.11 = 166,748,556.99 : x - Step 2: Convert to fraction form
305,980,784.58/422,241,164.11 = 166,748,556.99/x - Step 3: Cross multiply
305,980,784.58x = 422,241,164.11 × 166,748,556.99 - Step 4: Simplify right side
305,980,784.58x = 70,408,104,818,912,120 - Step 5: Solve for x
x = 70,408,104,818,912,120/305,980,784.58 - Step 6: Final answer
x = 230,106,295.45
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.