Finding the Fourth Proportional to 296,894.25, 409,739.99 and 162,784.17
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Solution
The fourth proportional to 296,894.25, 409,739.99 and 162,784.17 is: 224,656.37
Step by Step Solution
- Step 1: Write the proportion equation
296,894.25 : 409,739.99 = 162,784.17 : x - Step 2: Convert to fraction form
296,894.25/409,739.99 = 162,784.17/x - Step 3: Cross multiply
296,894.25x = 409,739.99 × 162,784.17 - Step 4: Simplify right side
296,894.25x = 66,699,183,374.04 - Step 5: Solve for x
x = 66,699,183,374.04/296,894.25 - Step 6: Final answer
x = 224,656.37
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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.