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Finding the Fourth Proportional to 313,590.34, 470,394.28 and 76,932.64

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Solution

The fourth proportional to 313,590.34, 470,394.28 and 76,932.64 is: 115,401.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,590.34 : 470,394.28 = 76,932.64 : x
  2. Step 2: Convert to fraction form
    313,590.34/470,394.28 = 76,932.64/x
  3. Step 3: Cross multiply
    313,590.34x = 470,394.28 × 76,932.64
  4. Step 4: Simplify right side
    313,590.34x = 36,188,673,801.30
  5. Step 5: Solve for x
    x = 36,188,673,801.30/313,590.34
  6. Step 6: Final answer
    x = 115,401.11

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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.