Finding the Fourth Proportional to 284,301.56, 424,609.09 and 257,594.19
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Solution
The fourth proportional to 284,301.56, 424,609.09 and 257,594.19 is: 384,721.19
Step by Step Solution
- Step 1: Write the proportion equation
284,301.56 : 424,609.09 = 257,594.19 : x - Step 2: Convert to fraction form
284,301.56/424,609.09 = 257,594.19/x - Step 3: Cross multiply
284,301.56x = 424,609.09 × 257,594.19 - Step 4: Simplify right side
284,301.56x = 109,376,833,817.89 - Step 5: Solve for x
x = 109,376,833,817.89/284,301.56 - Step 6: Final answer
x = 384,721.19
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.