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Finding the Fourth Proportional to 313,819.83, 470,725.65 and 77,164.56

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Solution

The fourth proportional to 313,819.83, 470,725.65 and 77,164.56 is: 115,745.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,819.83 : 470,725.65 = 77,164.56 : x
  2. Step 2: Convert to fraction form
    313,819.83/470,725.65 = 77,164.56/x
  3. Step 3: Cross multiply
    313,819.83x = 470,725.65 × 77,164.56
  4. Step 4: Simplify right side
    313,819.83x = 36,323,337,662.96
  5. Step 5: Solve for x
    x = 36,323,337,662.96/313,819.83
  6. Step 6: Final answer
    x = 115,745.83

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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.