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Finding the Fourth Proportional to 428,593.76, 642,933.84 and 113,072.48

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Solution

The fourth proportional to 428,593.76, 642,933.84 and 113,072.48 is: 169,620.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,593.76 : 642,933.84 = 113,072.48 : x
  2. Step 2: Convert to fraction form
    428,593.76/642,933.84 = 113,072.48/x
  3. Step 3: Cross multiply
    428,593.76x = 642,933.84 × 113,072.48
  4. Step 4: Simplify right side
    428,593.76x = 72,698,123,764.72
  5. Step 5: Solve for x
    x = 72,698,123,764.72/428,593.76
  6. Step 6: Final answer
    x = 169,620.12

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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.