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Finding the Fourth Proportional to 273,844.90, 410,400.18 and 213,128.49

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Solution

The fourth proportional to 273,844.90, 410,400.18 and 213,128.49 is: 319,406.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,844.90 : 410,400.18 = 213,128.49 : x
  2. Step 2: Convert to fraction form
    273,844.90/410,400.18 = 213,128.49/x
  3. Step 3: Cross multiply
    273,844.90x = 410,400.18 × 213,128.49
  4. Step 4: Simplify right side
    273,844.90x = 87,467,970,659.13
  5. Step 5: Solve for x
    x = 87,467,970,659.13/273,844.90
  6. Step 6: Final answer
    x = 319,406.97

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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.