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Finding the Fourth Proportional to 477,922.20, 716,440.20 and 211,540.72

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Solution

The fourth proportional to 477,922.20, 716,440.20 and 211,540.72 is: 317,114.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,922.20 : 716,440.20 = 211,540.72 : x
  2. Step 2: Convert to fraction form
    477,922.20/716,440.20 = 211,540.72/x
  3. Step 3: Cross multiply
    477,922.20x = 716,440.20 × 211,540.72
  4. Step 4: Simplify right side
    477,922.20x = 151,556,275,744.94
  5. Step 5: Solve for x
    x = 151,556,275,744.94/477,922.20
  6. Step 6: Final answer
    x = 317,114.95

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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.