Finding the Fourth Proportional to 392,972.14, 542,301.58 and 214,124.14
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Solution
The fourth proportional to 392,972.14, 542,301.58 and 214,124.14 is: 295,491.33
Step by Step Solution
- Step 1: Write the proportion equation
392,972.14 : 542,301.58 = 214,124.14 : x - Step 2: Convert to fraction form
392,972.14/542,301.58 = 214,124.14/x - Step 3: Cross multiply
392,972.14x = 542,301.58 × 214,124.14 - Step 4: Simplify right side
392,972.14x = 116,119,859,438.14 - Step 5: Solve for x
x = 116,119,859,438.14/392,972.14 - Step 6: Final answer
x = 295,491.33
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1.5x scale
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.