Finding the Fourth Proportional to 430,474.44, 645,712.26 and 205,782.06
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Solution
The fourth proportional to 430,474.44, 645,712.26 and 205,782.06 is: 308,673.38
Step by Step Solution
- Step 1: Write the proportion equation
430,474.44 : 645,712.26 = 205,782.06 : x - Step 2: Convert to fraction form
430,474.44/645,712.26 = 205,782.06/x - Step 3: Cross multiply
430,474.44x = 645,712.26 × 205,782.06 - Step 4: Simplify right side
430,474.44x = 132,875,999,030.06 - Step 5: Solve for x
x = 132,875,999,030.06/430,474.44 - Step 6: Final answer
x = 308,673.38
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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.