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Finding the Fourth Proportional to 252,589.44, 378,628.16 and 163,899.28

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Solution

The fourth proportional to 252,589.44, 378,628.16 and 163,899.28 is: 245,682.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,589.44 : 378,628.16 = 163,899.28 : x
  2. Step 2: Convert to fraction form
    252,589.44/378,628.16 = 163,899.28/x
  3. Step 3: Cross multiply
    252,589.44x = 378,628.16 × 163,899.28
  4. Step 4: Simplify right side
    252,589.44x = 62,056,882,811.72
  5. Step 5: Solve for x
    x = 62,056,882,811.72/252,589.44
  6. Step 6: Final answer
    x = 245,682.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.