Finding the Fourth Proportional to 411,046.14, 616,572.45 and 144,745.68
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Solution
The fourth proportional to 411,046.14, 616,572.45 and 144,745.68 is: 217,119.66
Step by Step Solution
- Step 1: Write the proportion equation
411,046.14 : 616,572.45 = 144,745.68 : x - Step 2: Convert to fraction form
411,046.14/616,572.45 = 144,745.68/x - Step 3: Cross multiply
411,046.14x = 616,572.45 × 144,745.68 - Step 4: Simplify right side
411,046.14x = 89,246,198,544.52 - Step 5: Solve for x
x = 89,246,198,544.52/411,046.14 - Step 6: Final answer
x = 217,119.66
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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.