Finding the Fourth Proportional to 227,977.65, 314,445.99 and 160,009.79
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Solution
The fourth proportional to 227,977.65, 314,445.99 and 160,009.79 is: 220,698.99
Step by Step Solution
- Step 1: Write the proportion equation
227,977.65 : 314,445.99 = 160,009.79 : x - Step 2: Convert to fraction form
227,977.65/314,445.99 = 160,009.79/x - Step 3: Cross multiply
227,977.65x = 314,445.99 × 160,009.79 - Step 4: Simplify right side
227,977.65x = 50,314,436,040.13 - Step 5: Solve for x
x = 50,314,436,040.13/227,977.65 - Step 6: Final answer
x = 220,698.99
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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.