Finding the Fourth Proportional to 255,430.68, 383,146.11 and 105,506.19
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Solution
The fourth proportional to 255,430.68, 383,146.11 and 105,506.19 is: 158,259.32
Step by Step Solution
- Step 1: Write the proportion equation
255,430.68 : 383,146.11 = 105,506.19 : x - Step 2: Convert to fraction form
255,430.68/383,146.11 = 105,506.19/x - Step 3: Cross multiply
255,430.68x = 383,146.11 × 105,506.19 - Step 4: Simplify right side
255,430.68x = 40,424,286,279.42 - Step 5: Solve for x
x = 40,424,286,279.42/255,430.68 - Step 6: Final answer
x = 158,259.32
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1.5x scale
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.