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Finding the Fourth Proportional to 276,144.46, 380,980.60 and 161,382.31

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Solution

The fourth proportional to 276,144.46, 380,980.60 and 161,382.31 is: 222,649.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,144.46 : 380,980.60 = 161,382.31 : x
  2. Step 2: Convert to fraction form
    276,144.46/380,980.60 = 161,382.31/x
  3. Step 3: Cross multiply
    276,144.46x = 380,980.60 × 161,382.31
  4. Step 4: Simplify right side
    276,144.46x = 61,483,527,937.28
  5. Step 5: Solve for x
    x = 61,483,527,937.28/276,144.46
  6. Step 6: Final answer
    x = 222,649.87

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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.