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Finding the Fourth Proportional to 428,197.39, 641,424.12 and 202,874.83

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Solution

The fourth proportional to 428,197.39, 641,424.12 and 202,874.83 is: 303,899.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,197.39 : 641,424.12 = 202,874.83 : x
  2. Step 2: Convert to fraction form
    428,197.39/641,424.12 = 202,874.83/x
  3. Step 3: Cross multiply
    428,197.39x = 641,424.12 × 202,874.83
  4. Step 4: Simplify right side
    428,197.39x = 130,128,806,938.56
  5. Step 5: Solve for x
    x = 130,128,806,938.56/428,197.39
  6. Step 6: Final answer
    x = 303,899.11

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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.