Finding the Fourth Proportional to 284,494.30, 392,610.07 and 157,178.09
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Solution
The fourth proportional to 284,494.30, 392,610.07 and 157,178.09 is: 216,910.15
Step by Step Solution
- Step 1: Write the proportion equation
284,494.30 : 392,610.07 = 157,178.09 : x - Step 2: Convert to fraction form
284,494.30/392,610.07 = 157,178.09/x - Step 3: Cross multiply
284,494.30x = 392,610.07 × 157,178.09 - Step 4: Simplify right side
284,494.30x = 61,709,700,917.37 - Step 5: Solve for x
x = 61,709,700,917.37/284,494.30 - Step 6: Final answer
x = 216,910.15
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1.5x scale
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.