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Finding the Fourth Proportional to 229,505.20, 344,257.80 and 203,917.30

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Solution

The fourth proportional to 229,505.20, 344,257.80 and 203,917.30 is: 305,875.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,505.20 : 344,257.80 = 203,917.30 : x
  2. Step 2: Convert to fraction form
    229,505.20/344,257.80 = 203,917.30/x
  3. Step 3: Cross multiply
    229,505.20x = 344,257.80 × 203,917.30
  4. Step 4: Simplify right side
    229,505.20x = 70,200,121,079.94
  5. Step 5: Solve for x
    x = 70,200,121,079.94/229,505.20
  6. Step 6: Final answer
    x = 305,875.95

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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.