Finding the Fourth Proportional to 412,873.29, 569,769.93 and 229,115.70
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Solution
The fourth proportional to 412,873.29, 569,769.93 and 229,115.70 is: 316,182.32
Step by Step Solution
- Step 1: Write the proportion equation
412,873.29 : 569,769.93 = 229,115.70 : x - Step 2: Convert to fraction form
412,873.29/569,769.93 = 229,115.70/x - Step 3: Cross multiply
412,873.29x = 569,769.93 × 229,115.70 - Step 4: Simplify right side
412,873.29x = 130,543,236,350.90 - Step 5: Solve for x
x = 130,543,236,350.90/412,873.29 - Step 6: Final answer
x = 316,182.32
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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.