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Finding the Fourth Proportional to 314,920.20, 471,228.30 and 231,976.20

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Solution

The fourth proportional to 314,920.20, 471,228.30 and 231,976.20 is: 347,115.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,920.20 : 471,228.30 = 231,976.20 : x
  2. Step 2: Convert to fraction form
    314,920.20/471,228.30 = 231,976.20/x
  3. Step 3: Cross multiply
    314,920.20x = 471,228.30 × 231,976.20
  4. Step 4: Simplify right side
    314,920.20x = 109,313,750,366.46
  5. Step 5: Solve for x
    x = 109,313,750,366.46/314,920.20
  6. Step 6: Final answer
    x = 347,115.71

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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.