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Finding the Fourth Proportional to 276,714.50, 381,950.69 and 162,020.03

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Solution

The fourth proportional to 276,714.50, 381,950.69 and 162,020.03 is: 223,637.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,714.50 : 381,950.69 = 162,020.03 : x
  2. Step 2: Convert to fraction form
    276,714.50/381,950.69 = 162,020.03/x
  3. Step 3: Cross multiply
    276,714.50x = 381,950.69 × 162,020.03
  4. Step 4: Simplify right side
    276,714.50x = 61,883,659,532.47
  5. Step 5: Solve for x
    x = 61,883,659,532.47/276,714.50
  6. Step 6: Final answer
    x = 223,637.22

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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.