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Finding the Fourth Proportional to 402,256.40, 603,206.40 and 135,944.60

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Solution

The fourth proportional to 402,256.40, 603,206.40 and 135,944.60 is: 203,856.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,256.40 : 603,206.40 = 135,944.60 : x
  2. Step 2: Convert to fraction form
    402,256.40/603,206.40 = 135,944.60/x
  3. Step 3: Cross multiply
    402,256.40x = 603,206.40 × 135,944.60
  4. Step 4: Simplify right side
    402,256.40x = 82,002,652,765.44
  5. Step 5: Solve for x
    x = 82,002,652,765.44/402,256.40
  6. Step 6: Final answer
    x = 203,856.68

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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.