Finding the Fourth Proportional to 514,113.42, 769,828.77 and 413,725.26
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Solution
The fourth proportional to 514,113.42, 769,828.77 and 413,725.26 is: 619,508.45
Step by Step Solution
- Step 1: Write the proportion equation
514,113.42 : 769,828.77 = 413,725.26 : x - Step 2: Convert to fraction form
514,113.42/769,828.77 = 413,725.26/x - Step 3: Cross multiply
514,113.42x = 769,828.77 × 413,725.26 - Step 4: Simplify right side
514,113.42x = 318,497,608,023.73 - Step 5: Solve for x
x = 318,497,608,023.73/514,113.42 - Step 6: Final answer
x = 619,508.45
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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.