Finding the Fourth Proportional to 296,538.35, 409,223.70 and 160,574.00
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Solution
The fourth proportional to 296,538.35, 409,223.70 and 160,574.00 is: 221,592.54
Step by Step Solution
- Step 1: Write the proportion equation
296,538.35 : 409,223.70 = 160,574.00 : x - Step 2: Convert to fraction form
296,538.35/409,223.70 = 160,574.00/x - Step 3: Cross multiply
296,538.35x = 409,223.70 × 160,574.00 - Step 4: Simplify right side
296,538.35x = 65,710,684,357.68 - Step 5: Solve for x
x = 65,710,684,357.68/296,538.35 - Step 6: Final answer
x = 221,592.54
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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.