Finding the Fourth Proportional to 296,454.11, 409,106.81 and 160,488.06
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Solution
The fourth proportional to 296,454.11, 409,106.81 and 160,488.06 is: 221,473.60
Step by Step Solution
- Step 1: Write the proportion equation
296,454.11 : 409,106.81 = 160,488.06 : x - Step 2: Convert to fraction form
296,454.11/409,106.81 = 160,488.06/x - Step 3: Cross multiply
296,454.11x = 409,106.81 × 160,488.06 - Step 4: Simplify right side
296,454.11x = 65,656,757,467.25 - Step 5: Solve for x
x = 65,656,757,467.25/296,454.11 - Step 6: Final answer
x = 221,473.60
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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.