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Finding the Fourth Proportional to 379,449.20, 523,635.72 and 209,673.20

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Solution

The fourth proportional to 379,449.20, 523,635.72 and 209,673.20 is: 289,346.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,449.20 : 523,635.72 = 209,673.20 : x
  2. Step 2: Convert to fraction form
    379,449.20/523,635.72 = 209,673.20/x
  3. Step 3: Cross multiply
    379,449.20x = 523,635.72 × 209,673.20
  4. Step 4: Simplify right side
    379,449.20x = 109,792,377,046.70
  5. Step 5: Solve for x
    x = 109,792,377,046.70/379,449.20
  6. Step 6: Final answer
    x = 289,346.71

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1.5x scale

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.