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Finding the Fourth Proportional to 428,106.96, 642,183.48 and 178,537.68

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Solution

The fourth proportional to 428,106.96, 642,183.48 and 178,537.68 is: 267,816.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,106.96 : 642,183.48 = 178,537.68 : x
  2. Step 2: Convert to fraction form
    428,106.96/642,183.48 = 178,537.68/x
  3. Step 3: Cross multiply
    428,106.96x = 642,183.48 × 178,537.68
  4. Step 4: Simplify right side
    428,106.96x = 114,653,948,653.53
  5. Step 5: Solve for x
    x = 114,653,948,653.53/428,106.96
  6. Step 6: Final answer
    x = 267,816.13

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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.