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Finding the Fourth Proportional to 428,394.80, 642,410.04 and 175,500.56

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Solution

The fourth proportional to 428,394.80, 642,410.04 and 175,500.56 is: 263,176.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,394.80 : 642,410.04 = 175,500.56 : x
  2. Step 2: Convert to fraction form
    428,394.80/642,410.04 = 175,500.56/x
  3. Step 3: Cross multiply
    428,394.80x = 642,410.04 × 175,500.56
  4. Step 4: Simplify right side
    428,394.80x = 112,743,321,769.62
  5. Step 5: Solve for x
    x = 112,743,321,769.62/428,394.80
  6. Step 6: Final answer
    x = 263,176.21

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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.