Finding the Fourth Proportional to 420,779.76, 580,678.20 and 229,793.14
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Solution
The fourth proportional to 420,779.76, 580,678.20 and 229,793.14 is: 317,115.70
Step by Step Solution
- Step 1: Write the proportion equation
420,779.76 : 580,678.20 = 229,793.14 : x - Step 2: Convert to fraction form
420,779.76/580,678.20 = 229,793.14/x - Step 3: Cross multiply
420,779.76x = 580,678.20 × 229,793.14 - Step 4: Simplify right side
420,779.76x = 133,435,866,907.55 - Step 5: Solve for x
x = 133,435,866,907.55/420,779.76 - Step 6: Final answer
x = 317,115.70
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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.