Finding the Fourth Proportional to 782,158.07, 1,079,378.13 and 424,462.07
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Solution
The fourth proportional to 782,158.07, 1,079,378.13 and 424,462.07 is: 585,757.65
Step by Step Solution
- Step 1: Write the proportion equation
782,158.07 : 1,079,378.13 = 424,462.07 : x - Step 2: Convert to fraction form
782,158.07/1,079,378.13 = 424,462.07/x - Step 3: Cross multiply
782,158.07x = 1,079,378.13 × 424,462.07 - Step 4: Simplify right side
782,158.07x = 458,155,075,372.53 - Step 5: Solve for x
x = 458,155,075,372.53/782,158.07 - Step 6: Final answer
x = 585,757.65
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1.5x scale
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.