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Finding the Fourth Proportional to 313,383.88, 470,262.60 and 113,719.85

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Solution

The fourth proportional to 313,383.88, 470,262.60 and 113,719.85 is: 170,647.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,383.88 : 470,262.60 = 113,719.85 : x
  2. Step 2: Convert to fraction form
    313,383.88/470,262.60 = 113,719.85/x
  3. Step 3: Cross multiply
    313,383.88x = 470,262.60 × 113,719.85
  4. Step 4: Simplify right side
    313,383.88x = 53,478,189,981.30
  5. Step 5: Solve for x
    x = 53,478,189,981.30/313,383.88
  6. Step 6: Final answer
    x = 170,647.55

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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.