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Finding the Fourth Proportional to 428,624.46, 642,873.51 and 113,103.54

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Solution

The fourth proportional to 428,624.46, 642,873.51 and 113,103.54 is: 169,638.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,624.46 : 642,873.51 = 113,103.54 : x
  2. Step 2: Convert to fraction form
    428,624.46/642,873.51 = 113,103.54/x
  3. Step 3: Cross multiply
    428,624.46x = 642,873.51 × 113,103.54
  4. Step 4: Simplify right side
    428,624.46x = 72,711,269,753.23
  5. Step 5: Solve for x
    x = 72,711,269,753.23/428,624.46
  6. Step 6: Final answer
    x = 169,638.64

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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.