Finding the Fourth Proportional to 295,975,820.87, 408,025,565.15 and 201,769,073.94
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Solution
The fourth proportional to 295,975,820.87, 408,025,565.15 and 201,769,073.94 is: 278,154,276.87
Step by Step Solution
- Step 1: Write the proportion equation
295,975,820.87 : 408,025,565.15 = 201,769,073.94 : x - Step 2: Convert to fraction form
295,975,820.87/408,025,565.15 = 201,769,073.94/x - Step 3: Cross multiply
295,975,820.87x = 408,025,565.15 × 201,769,073.94 - Step 4: Simplify right side
295,975,820.87x = 82,326,940,424,160,624 - Step 5: Solve for x
x = 82,326,940,424,160,624/295,975,820.87 - Step 6: Final answer
x = 278,154,276.87
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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.