Finding the Fourth Proportional to 284,823.24, 427,445.14 and 135,064.03
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Solution
The fourth proportional to 284,823.24, 427,445.14 and 135,064.03 is: 202,695.75
Step by Step Solution
- Step 1: Write the proportion equation
284,823.24 : 427,445.14 = 135,064.03 : x - Step 2: Convert to fraction form
284,823.24/427,445.14 = 135,064.03/x - Step 3: Cross multiply
284,823.24x = 427,445.14 × 135,064.03 - Step 4: Simplify right side
284,823.24x = 57,732,460,399.77 - Step 5: Solve for x
x = 57,732,460,399.77/284,823.24 - Step 6: Final answer
x = 202,695.75
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.