Finding the Fourth Proportional to 378,283.84, 522,031.76 and 208,521.68
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Solution
The fourth proportional to 378,283.84, 522,031.76 and 208,521.68 is: 287,759.95
Step by Step Solution
- Step 1: Write the proportion equation
378,283.84 : 522,031.76 = 208,521.68 : x - Step 2: Convert to fraction form
378,283.84/522,031.76 = 208,521.68/x - Step 3: Cross multiply
378,283.84x = 522,031.76 × 208,521.68 - Step 4: Simplify right side
378,283.84x = 108,854,939,608.56 - Step 5: Solve for x
x = 108,854,939,608.56/378,283.84 - Step 6: Final answer
x = 287,759.95
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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.