Finding the Fourth Proportional to 313,854.75, 470,989.49 and 147,655.71
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Solution
The fourth proportional to 313,854.75, 470,989.49 and 147,655.71 is: 221,581.12
Step by Step Solution
- Step 1: Write the proportion equation
313,854.75 : 470,989.49 = 147,655.71 : x - Step 2: Convert to fraction form
313,854.75/470,989.49 = 147,655.71/x - Step 3: Cross multiply
313,854.75x = 470,989.49 × 147,655.71 - Step 4: Simplify right side
313,854.75x = 69,544,286,810.21 - Step 5: Solve for x
x = 69,544,286,810.21/313,854.75 - Step 6: Final answer
x = 221,581.12
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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.