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Finding the Fourth Proportional to 231,857.20, 347,008.20 and 203,863.60

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Solution

The fourth proportional to 231,857.20, 347,008.20 and 203,863.60 is: 305,111.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,857.20 : 347,008.20 = 203,863.60 : x
  2. Step 2: Convert to fraction form
    231,857.20/347,008.20 = 203,863.60/x
  3. Step 3: Cross multiply
    231,857.20x = 347,008.20 × 203,863.60
  4. Step 4: Simplify right side
    231,857.20x = 70,742,340,881.52
  5. Step 5: Solve for x
    x = 70,742,340,881.52/231,857.20
  6. Step 6: Final answer
    x = 305,111.68

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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.