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Finding the Fourth Proportional to 428,139.56, 642,420.35 and 200,450.57

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Solution

The fourth proportional to 428,139.56, 642,420.35 and 200,450.57 is: 300,774.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,139.56 : 642,420.35 = 200,450.57 : x
  2. Step 2: Convert to fraction form
    428,139.56/642,420.35 = 200,450.57/x
  3. Step 3: Cross multiply
    428,139.56x = 642,420.35 × 200,450.57
  4. Step 4: Simplify right side
    428,139.56x = 128,773,521,874.44
  5. Step 5: Solve for x
    x = 128,773,521,874.44/428,139.56
  6. Step 6: Final answer
    x = 300,774.64

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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.