Finding the Fourth Proportional to 284,829.36, 393,045.12 and 157,503.84
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Solution
The fourth proportional to 284,829.36, 393,045.12 and 157,503.84 is: 217,344.57
Step by Step Solution
- Step 1: Write the proportion equation
284,829.36 : 393,045.12 = 157,503.84 : x - Step 2: Convert to fraction form
284,829.36/393,045.12 = 157,503.84/x - Step 3: Cross multiply
284,829.36x = 393,045.12 × 157,503.84 - Step 4: Simplify right side
284,829.36x = 61,906,115,693.26 - Step 5: Solve for x
x = 61,906,115,693.26/284,829.36 - Step 6: Final answer
x = 217,344.57
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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.