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Finding the Fourth Proportional to 428,342.87, 641,838.38 and 158,099.05

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Solution

The fourth proportional to 428,342.87, 641,838.38 and 158,099.05 is: 236,899.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,342.87 : 641,838.38 = 158,099.05 : x
  2. Step 2: Convert to fraction form
    428,342.87/641,838.38 = 158,099.05/x
  3. Step 3: Cross multiply
    428,342.87x = 641,838.38 × 158,099.05
  4. Step 4: Simplify right side
    428,342.87x = 101,474,038,143.34
  5. Step 5: Solve for x
    x = 101,474,038,143.34/428,342.87
  6. Step 6: Final answer
    x = 236,899.09

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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.