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Finding the Fourth Proportional to 312,430.38, 468,667.43 and 125,441.88

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Solution

The fourth proportional to 312,430.38, 468,667.43 and 125,441.88 is: 188,171.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,430.38 : 468,667.43 = 125,441.88 : x
  2. Step 2: Convert to fraction form
    312,430.38/468,667.43 = 125,441.88/x
  3. Step 3: Cross multiply
    312,430.38x = 468,667.43 × 125,441.88
  4. Step 4: Simplify right side
    312,430.38x = 58,790,523,513.97
  5. Step 5: Solve for x
    x = 58,790,523,513.97/312,430.38
  6. Step 6: Final answer
    x = 188,171.60

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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.