Finding the Fourth Proportional to 430,154.16, 645,229.80 and 110,305.68
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Solution
The fourth proportional to 430,154.16, 645,229.80 and 110,305.68 is: 165,458.15
Step by Step Solution
- Step 1: Write the proportion equation
430,154.16 : 645,229.80 = 110,305.68 : x - Step 2: Convert to fraction form
430,154.16/645,229.80 = 110,305.68/x - Step 3: Cross multiply
430,154.16x = 645,229.80 × 110,305.68 - Step 4: Simplify right side
430,154.16x = 71,172,511,845.26 - Step 5: Solve for x
x = 71,172,511,845.26/430,154.16 - Step 6: Final answer
x = 165,458.15
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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.