Finding the Fourth Proportional to 431,023.67, 646,683.21 and 164,860.31
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Solution
The fourth proportional to 431,023.67, 646,683.21 and 164,860.31 is: 247,346.95
Step by Step Solution
- Step 1: Write the proportion equation
431,023.67 : 646,683.21 = 164,860.31 : x - Step 2: Convert to fraction form
431,023.67/646,683.21 = 164,860.31/x - Step 3: Cross multiply
431,023.67x = 646,683.21 × 164,860.31 - Step 4: Simplify right side
431,023.67x = 106,612,391,238.98 - Step 5: Solve for x
x = 106,612,391,238.98/431,023.67 - Step 6: Final answer
x = 247,346.95
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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.