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Finding the Fourth Proportional to 312,200.70, 468,321.98 and 109,772.57

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Solution

The fourth proportional to 312,200.70, 468,321.98 and 109,772.57 is: 164,666.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,200.70 : 468,321.98 = 109,772.57 : x
  2. Step 2: Convert to fraction form
    312,200.70/468,321.98 = 109,772.57/x
  3. Step 3: Cross multiply
    312,200.70x = 468,321.98 × 109,772.57
  4. Step 4: Simplify right side
    312,200.70x = 51,408,904,441.62
  5. Step 5: Solve for x
    x = 51,408,904,441.62/312,200.70
  6. Step 6: Final answer
    x = 164,666.20

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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.