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Finding the Fourth Proportional to 312,190.56, 468,287.04 and 75,532.86

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Solution

The fourth proportional to 312,190.56, 468,287.04 and 75,532.86 is: 113,299.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,190.56 : 468,287.04 = 75,532.86 : x
  2. Step 2: Convert to fraction form
    312,190.56/468,287.04 = 75,532.86/x
  3. Step 3: Cross multiply
    312,190.56x = 468,287.04 × 75,532.86
  4. Step 4: Simplify right side
    312,190.56x = 35,371,059,432.13
  5. Step 5: Solve for x
    x = 35,371,059,432.13/312,190.56
  6. Step 6: Final answer
    x = 113,299.58

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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.