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Finding the Fourth Proportional to 313,982.44, 470,638.14 and 228,388.12

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Solution

The fourth proportional to 313,982.44, 470,638.14 and 228,388.12 is: 342,338.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,982.44 : 470,638.14 = 228,388.12 : x
  2. Step 2: Convert to fraction form
    313,982.44/470,638.14 = 228,388.12/x
  3. Step 3: Cross multiply
    313,982.44x = 470,638.14 × 228,388.12
  4. Step 4: Simplify right side
    313,982.44x = 107,488,159,994.90
  5. Step 5: Solve for x
    x = 107,488,159,994.90/313,982.44
  6. Step 6: Final answer
    x = 342,338.13

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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.