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Finding the Fourth Proportional to 428,409.11, 641,937.74 and 158,165.62

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Solution

The fourth proportional to 428,409.11, 641,937.74 and 158,165.62 is: 236,998.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,409.11 : 641,937.74 = 158,165.62 : x
  2. Step 2: Convert to fraction form
    428,409.11/641,937.74 = 158,165.62/x
  3. Step 3: Cross multiply
    428,409.11x = 641,937.74 × 158,165.62
  4. Step 4: Simplify right side
    428,409.11x = 101,532,480,648.50
  5. Step 5: Solve for x
    x = 101,532,480,648.50/428,409.11
  6. Step 6: Final answer
    x = 236,998.88

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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.