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Finding the Fourth Proportional to 227,853.60, 340,858.80 and 205,735.20

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Solution

The fourth proportional to 227,853.60, 340,858.80 and 205,735.20 is: 307,770.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,853.60 : 340,858.80 = 205,735.20 : x
  2. Step 2: Convert to fraction form
    227,853.60/340,858.80 = 205,735.20/x
  3. Step 3: Cross multiply
    227,853.60x = 340,858.80 × 205,735.20
  4. Step 4: Simplify right side
    227,853.60x = 70,126,653,389.76
  5. Step 5: Solve for x
    x = 70,126,653,389.76/227,853.60
  6. Step 6: Final answer
    x = 307,770.66

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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.