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Finding the Fourth Proportional to 276,755.64, 415,291.32 and 108,289.68

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Solution

The fourth proportional to 276,755.64, 415,291.32 and 108,289.68 is: 162,496.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,755.64 : 415,291.32 = 108,289.68 : x
  2. Step 2: Convert to fraction form
    276,755.64/415,291.32 = 108,289.68/x
  3. Step 3: Cross multiply
    276,755.64x = 415,291.32 × 108,289.68
  4. Step 4: Simplify right side
    276,755.64x = 44,971,764,149.58
  5. Step 5: Solve for x
    x = 44,971,764,149.58/276,755.64
  6. Step 6: Final answer
    x = 162,496.29

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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.