Finding the Fourth Proportional to 294,230,778.12, 406,033,513.20 and 162,084,135.96
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Solution
The fourth proportional to 294,230,778.12, 406,033,513.20 and 162,084,135.96 is: 223,673,374.96
Step by Step Solution
- Step 1: Write the proportion equation
294,230,778.12 : 406,033,513.20 = 162,084,135.96 : x - Step 2: Convert to fraction form
294,230,778.12/406,033,513.20 = 162,084,135.96/x - Step 3: Cross multiply
294,230,778.12x = 406,033,513.20 × 162,084,135.96 - Step 4: Simplify right side
294,230,778.12x = 65,811,591,157,825,256 - Step 5: Solve for x
x = 65,811,591,157,825,256/294,230,778.12 - Step 6: Final answer
x = 223,673,374.96
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.