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Finding the Fourth Proportional to 268,991.28, 402,363.16 and 189,023.64

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Solution

The fourth proportional to 268,991.28, 402,363.16 and 189,023.64 is: 282,745.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,991.28 : 402,363.16 = 189,023.64 : x
  2. Step 2: Convert to fraction form
    268,991.28/402,363.16 = 189,023.64/x
  3. Step 3: Cross multiply
    268,991.28x = 402,363.16 × 189,023.64
  4. Step 4: Simplify right side
    268,991.28x = 76,056,149,105.10
  5. Step 5: Solve for x
    x = 76,056,149,105.10/268,991.28
  6. Step 6: Final answer
    x = 282,745.78

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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.