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Finding the Fourth Proportional to 428,167.40, 642,284.31 and 128,624.54

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Solution

The fourth proportional to 428,167.40, 642,284.31 and 128,624.54 is: 192,946.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,167.40 : 642,284.31 = 128,624.54 : x
  2. Step 2: Convert to fraction form
    428,167.40/642,284.31 = 128,624.54/x
  3. Step 3: Cross multiply
    428,167.40x = 642,284.31 × 128,624.54
  4. Step 4: Simplify right side
    428,167.40x = 82,613,523,922.97
  5. Step 5: Solve for x
    x = 82,613,523,922.97/428,167.40
  6. Step 6: Final answer
    x = 192,946.79

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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.