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Finding the Fourth Proportional to 490,708.28, 677,691.48 and 338,143.16

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Solution

The fourth proportional to 490,708.28, 677,691.48 and 338,143.16 is: 466,991.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,708.28 : 677,691.48 = 338,143.16 : x
  2. Step 2: Convert to fraction form
    490,708.28/677,691.48 = 338,143.16/x
  3. Step 3: Cross multiply
    490,708.28x = 677,691.48 × 338,143.16
  4. Step 4: Simplify right side
    490,708.28x = 229,156,738,552.28
  5. Step 5: Solve for x
    x = 229,156,738,552.28/490,708.28
  6. Step 6: Final answer
    x = 466,991.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.