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Finding the Fourth Proportional to 313,960.80, 470,941.20 and 311,008.36

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Solution

The fourth proportional to 313,960.80, 470,941.20 and 311,008.36 is: 466,512.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,960.80 : 470,941.20 = 311,008.36 : x
  2. Step 2: Convert to fraction form
    313,960.80/470,941.20 = 311,008.36/x
  3. Step 3: Cross multiply
    313,960.80x = 470,941.20 × 311,008.36
  4. Step 4: Simplify right side
    313,960.80x = 146,466,650,268.43
  5. Step 5: Solve for x
    x = 146,466,650,268.43/313,960.80
  6. Step 6: Final answer
    x = 466,512.54

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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.