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Finding the Fourth Proportional to 428,797.85, 643,289.63 and 129,253.37

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Solution

The fourth proportional to 428,797.85, 643,289.63 and 129,253.37 is: 193,908.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,797.85 : 643,289.63 = 129,253.37 : x
  2. Step 2: Convert to fraction form
    428,797.85/643,289.63 = 129,253.37/x
  3. Step 3: Cross multiply
    428,797.85x = 643,289.63 × 129,253.37
  4. Step 4: Simplify right side
    428,797.85x = 83,147,351,917.29
  5. Step 5: Solve for x
    x = 83,147,351,917.29/428,797.85
  6. Step 6: Final answer
    x = 193,908.04

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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.