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Finding the Fourth Proportional to 274,259.20, 378,470.40 and 155,027.20

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Solution

The fourth proportional to 274,259.20, 378,470.40 and 155,027.20 is: 213,933.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,259.20 : 378,470.40 = 155,027.20 : x
  2. Step 2: Convert to fraction form
    274,259.20/378,470.40 = 155,027.20/x
  3. Step 3: Cross multiply
    274,259.20x = 378,470.40 × 155,027.20
  4. Step 4: Simplify right side
    274,259.20x = 58,673,206,394.88
  5. Step 5: Solve for x
    x = 58,673,206,394.88/274,259.20
  6. Step 6: Final answer
    x = 213,933.41

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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.