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Finding the Fourth Proportional to 297,923.20, 446,884.80 and 209,276.80

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Solution

The fourth proportional to 297,923.20, 446,884.80 and 209,276.80 is: 313,915.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,923.20 : 446,884.80 = 209,276.80 : x
  2. Step 2: Convert to fraction form
    297,923.20/446,884.80 = 209,276.80/x
  3. Step 3: Cross multiply
    297,923.20x = 446,884.80 × 209,276.80
  4. Step 4: Simplify right side
    297,923.20x = 93,522,620,912.64
  5. Step 5: Solve for x
    x = 93,522,620,912.64/297,923.20
  6. Step 6: Final answer
    x = 313,915.20

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1.5x scale

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.