Finding the Fourth Proportional to 299,113.08, 412,774.10 and 164,977.08
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Solution
The fourth proportional to 299,113.08, 412,774.10 and 164,977.08 is: 227,667.29
Step by Step Solution
- Step 1: Write the proportion equation
299,113.08 : 412,774.10 = 164,977.08 : x - Step 2: Convert to fraction form
299,113.08/412,774.10 = 164,977.08/x - Step 3: Cross multiply
299,113.08x = 412,774.10 × 164,977.08 - Step 4: Simplify right side
299,113.08x = 68,098,265,717.63 - Step 5: Solve for x
x = 68,098,265,717.63/299,113.08 - Step 6: Final answer
x = 227,667.29
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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.