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Finding the Fourth Proportional to 227,027.56, 340,464.40 and 77,227.80

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Solution

The fourth proportional to 227,027.56, 340,464.40 and 77,227.80 is: 115,815.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,027.56 : 340,464.40 = 77,227.80 : x
  2. Step 2: Convert to fraction form
    227,027.56/340,464.40 = 77,227.80/x
  3. Step 3: Cross multiply
    227,027.56x = 340,464.40 × 77,227.80
  4. Step 4: Simplify right side
    227,027.56x = 26,293,316,590.32
  5. Step 5: Solve for x
    x = 26,293,316,590.32/227,027.56
  6. Step 6: Final answer
    x = 115,815.53

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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.