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Finding the Fourth Proportional to 313,765.32, 470,659.05 and 100,505.52

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Solution

The fourth proportional to 313,765.32, 470,659.05 and 100,505.52 is: 150,761.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,765.32 : 470,659.05 = 100,505.52 : x
  2. Step 2: Convert to fraction form
    313,765.32/470,659.05 = 100,505.52/x
  3. Step 3: Cross multiply
    313,765.32x = 470,659.05 × 100,505.52
  4. Step 4: Simplify right side
    313,765.32x = 47,303,832,562.96
  5. Step 5: Solve for x
    x = 47,303,832,562.96/313,765.32
  6. Step 6: Final answer
    x = 150,761.83

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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.