Finding the Fourth Proportional to 342,144,164.40, 513,216,246.60 and 160,409,713.20
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Solution
The fourth proportional to 342,144,164.40, 513,216,246.60 and 160,409,713.20 is: 240,614,569.80
Step by Step Solution
- Step 1: Write the proportion equation
342,144,164.40 : 513,216,246.60 = 160,409,713.20 : x - Step 2: Convert to fraction form
342,144,164.40/513,216,246.60 = 160,409,713.20/x - Step 3: Cross multiply
342,144,164.40x = 513,216,246.60 × 160,409,713.20 - Step 4: Simplify right side
342,144,164.40x = 82,324,870,926,686,480 - Step 5: Solve for x
x = 82,324,870,926,686,480/342,144,164.40 - Step 6: Final answer
x = 240,614,569.80
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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.