Finding the Fourth Proportional to 470,497.35, 705,349.28 and 204,057.19
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Solution
The fourth proportional to 470,497.35, 705,349.28 and 204,057.19 is: 305,913.71
Step by Step Solution
- Step 1: Write the proportion equation
470,497.35 : 705,349.28 = 204,057.19 : x - Step 2: Convert to fraction form
470,497.35/705,349.28 = 204,057.19/x - Step 3: Cross multiply
470,497.35x = 705,349.28 × 204,057.19 - Step 4: Simplify right side
470,497.35x = 143,931,590,792.09 - Step 5: Solve for x
x = 143,931,590,792.09/470,497.35 - Step 6: Final answer
x = 305,913.71
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.