Finding the Fourth Proportional to 296,467.42, 409,122.11 and 160,497.77
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Solution
The fourth proportional to 296,467.42, 409,122.11 and 160,497.77 is: 221,485.34
Step by Step Solution
- Step 1: Write the proportion equation
296,467.42 : 409,122.11 = 160,497.77 : x - Step 2: Convert to fraction form
296,467.42/409,122.11 = 160,497.77/x - Step 3: Cross multiply
296,467.42x = 409,122.11 × 160,497.77 - Step 4: Simplify right side
296,467.42x = 65,663,185,510.21 - Step 5: Solve for x
x = 65,663,185,510.21/296,467.42 - Step 6: Final answer
x = 221,485.34
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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.