Finding the Fourth Proportional to 298,607.08, 412,077.76 and 164,471.08
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Solution
The fourth proportional to 298,607.08, 412,077.76 and 164,471.08 is: 226,970.08
Step by Step Solution
- Step 1: Write the proportion equation
298,607.08 : 412,077.76 = 164,471.08 : x - Step 2: Convert to fraction form
298,607.08/412,077.76 = 164,471.08/x - Step 3: Cross multiply
298,607.08x = 412,077.76 × 164,471.08 - Step 4: Simplify right side
298,607.08x = 67,774,874,231.18 - Step 5: Solve for x
x = 67,774,874,231.18/298,607.08 - Step 6: Final answer
x = 226,970.08
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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.