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Finding the Fourth Proportional to 428,174.64, 641,780.82 and 203,351.04

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Solution

The fourth proportional to 428,174.64, 641,780.82 and 203,351.04 is: 304,798.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,174.64 : 641,780.82 = 203,351.04 : x
  2. Step 2: Convert to fraction form
    428,174.64/641,780.82 = 203,351.04/x
  3. Step 3: Cross multiply
    428,174.64x = 641,780.82 × 203,351.04
  4. Step 4: Simplify right side
    428,174.64x = 130,506,797,199.05
  5. Step 5: Solve for x
    x = 130,506,797,199.05/428,174.64
  6. Step 6: Final answer
    x = 304,798.05

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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.