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Finding the Fourth Proportional to 428,604.87, 642,862.20 and 175,912.08

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Solution

The fourth proportional to 428,604.87, 642,862.20 and 175,912.08 is: 263,849.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,604.87 : 642,862.20 = 175,912.08 : x
  2. Step 2: Convert to fraction form
    428,604.87/642,862.20 = 175,912.08/x
  3. Step 3: Cross multiply
    428,604.87x = 642,862.20 × 175,912.08
  4. Step 4: Simplify right side
    428,604.87x = 113,087,226,755.38
  5. Step 5: Solve for x
    x = 113,087,226,755.38/428,604.87
  6. Step 6: Final answer
    x = 263,849.61

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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.