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Finding the Fourth Proportional to 262,311.87, 393,592.29 and 135,928.50

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Solution

The fourth proportional to 262,311.87, 393,592.29 and 135,928.50 is: 203,957.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,311.87 : 393,592.29 = 135,928.50 : x
  2. Step 2: Convert to fraction form
    262,311.87/393,592.29 = 135,928.50/x
  3. Step 3: Cross multiply
    262,311.87x = 393,592.29 × 135,928.50
  4. Step 4: Simplify right side
    262,311.87x = 53,500,409,591.27
  5. Step 5: Solve for x
    x = 53,500,409,591.27/262,311.87
  6. Step 6: Final answer
    x = 203,957.26

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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.