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Finding the Fourth Proportional to 313,320.48, 470,049.84 and 102,949.44

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Solution

The fourth proportional to 313,320.48, 470,049.84 and 102,949.44 is: 154,446.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,320.48 : 470,049.84 = 102,949.44 : x
  2. Step 2: Convert to fraction form
    313,320.48/470,049.84 = 102,949.44/x
  3. Step 3: Cross multiply
    313,320.48x = 470,049.84 × 102,949.44
  4. Step 4: Simplify right side
    313,320.48x = 48,391,367,800.09
  5. Step 5: Solve for x
    x = 48,391,367,800.09/313,320.48
  6. Step 6: Final answer
    x = 154,446.87

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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.