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Finding the Fourth Proportional to 313,562.64, 470,375.10 and 100,276.97

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Solution

The fourth proportional to 313,562.64, 470,375.10 and 100,276.97 is: 150,425.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,562.64 : 470,375.10 = 100,276.97 : x
  2. Step 2: Convert to fraction form
    313,562.64/470,375.10 = 100,276.97/x
  3. Step 3: Cross multiply
    313,562.64x = 470,375.10 × 100,276.97
  4. Step 4: Simplify right side
    313,562.64x = 47,167,787,439.57
  5. Step 5: Solve for x
    x = 47,167,787,439.57/313,562.64
  6. Step 6: Final answer
    x = 150,425.41

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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.