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Finding the Fourth Proportional to 276,065.28, 380,994.40 and 162,865.92

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Solution

The fourth proportional to 276,065.28, 380,994.40 and 162,865.92 is: 224,769.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,065.28 : 380,994.40 = 162,865.92 : x
  2. Step 2: Convert to fraction form
    276,065.28/380,994.40 = 162,865.92/x
  3. Step 3: Cross multiply
    276,065.28x = 380,994.40 × 162,865.92
  4. Step 4: Simplify right side
    276,065.28x = 62,051,003,470.85
  5. Step 5: Solve for x
    x = 62,051,003,470.85/276,065.28
  6. Step 6: Final answer
    x = 224,769.31

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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.