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Finding the Fourth Proportional to 428,528.56, 641,956.20 and 203,568.88

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Solution

The fourth proportional to 428,528.56, 641,956.20 and 203,568.88 is: 304,955.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,528.56 : 641,956.20 = 203,568.88 : x
  2. Step 2: Convert to fraction form
    428,528.56/641,956.20 = 203,568.88/x
  3. Step 3: Cross multiply
    428,528.56x = 641,956.20 × 203,568.88
  4. Step 4: Simplify right side
    428,528.56x = 130,682,304,643.06
  5. Step 5: Solve for x
    x = 130,682,304,643.06/428,528.56
  6. Step 6: Final answer
    x = 304,955.88

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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.