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Finding the Fourth Proportional to 428,907.21, 643,365.43 and 129,390.38

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Solution

The fourth proportional to 428,907.21, 643,365.43 and 129,390.38 is: 194,086.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,907.21 : 643,365.43 = 129,390.38 : x
  2. Step 2: Convert to fraction form
    428,907.21/643,365.43 = 129,390.38/x
  3. Step 3: Cross multiply
    428,907.21x = 643,365.43 × 129,390.38
  4. Step 4: Simplify right side
    428,907.21x = 83,245,297,466.56
  5. Step 5: Solve for x
    x = 83,245,297,466.56/428,907.21
  6. Step 6: Final answer
    x = 194,086.96

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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.