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Finding the Fourth Proportional to 313,911.90, 470,977.20 and 136,546.20

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Solution

The fourth proportional to 313,911.90, 470,977.20 and 136,546.20 is: 204,866.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,911.90 : 470,977.20 = 136,546.20 : x
  2. Step 2: Convert to fraction form
    313,911.90/470,977.20 = 136,546.20/x
  3. Step 3: Cross multiply
    313,911.90x = 470,977.20 × 136,546.20
  4. Step 4: Simplify right side
    313,911.90x = 64,310,146,946.64
  5. Step 5: Solve for x
    x = 64,310,146,946.64/313,911.90
  6. Step 6: Final answer
    x = 204,866.87

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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.