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Finding the Fourth Proportional to 313,883.60, 470,134.20 and 219,880.40

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Solution

The fourth proportional to 313,883.60, 470,134.20 and 219,880.40 is: 329,336.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,883.60 : 470,134.20 = 219,880.40 : x
  2. Step 2: Convert to fraction form
    313,883.60/470,134.20 = 219,880.40/x
  3. Step 3: Cross multiply
    313,883.60x = 470,134.20 × 219,880.40
  4. Step 4: Simplify right side
    313,883.60x = 103,373,295,949.68
  5. Step 5: Solve for x
    x = 103,373,295,949.68/313,883.60
  6. Step 6: Final answer
    x = 329,336.40

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1.5x scale

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.