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Finding the Fourth Proportional to 313,408.56, 470,013.12 and 102,997.92

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Solution

The fourth proportional to 313,408.56, 470,013.12 and 102,997.92 is: 154,464.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,408.56 : 470,013.12 = 102,997.92 : x
  2. Step 2: Convert to fraction form
    313,408.56/470,013.12 = 102,997.92/x
  3. Step 3: Cross multiply
    313,408.56x = 470,013.12 × 102,997.92
  4. Step 4: Simplify right side
    313,408.56x = 48,410,373,732.71
  5. Step 5: Solve for x
    x = 48,410,373,732.71/313,408.56
  6. Step 6: Final answer
    x = 154,464.11

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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.