Finding the Fourth Proportional to 296,938.56, 409,962.06 and 206,265.36
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Solution
The fourth proportional to 296,938.56, 409,962.06 and 206,265.36 is: 284,775.99
Step by Step Solution
- Step 1: Write the proportion equation
296,938.56 : 409,962.06 = 206,265.36 : x - Step 2: Convert to fraction form
296,938.56/409,962.06 = 206,265.36/x - Step 3: Cross multiply
296,938.56x = 409,962.06 × 206,265.36 - Step 4: Simplify right side
296,938.56x = 84,560,971,892.24 - Step 5: Solve for x
x = 84,560,971,892.24/296,938.56 - Step 6: Final answer
x = 284,775.99
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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.