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Finding the Fourth Proportional to 230,489.26, 345,730.46 and 140,558.40

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Solution

The fourth proportional to 230,489.26, 345,730.46 and 140,558.40 is: 210,835.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,489.26 : 345,730.46 = 140,558.40 : x
  2. Step 2: Convert to fraction form
    230,489.26/345,730.46 = 140,558.40/x
  3. Step 3: Cross multiply
    230,489.26x = 345,730.46 × 140,558.40
  4. Step 4: Simplify right side
    230,489.26x = 48,595,320,288.86
  5. Step 5: Solve for x
    x = 48,595,320,288.86/230,489.26
  6. Step 6: Final answer
    x = 210,835.51

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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.