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Finding the Fourth Proportional to 299,441.21, 413,222.18 and 163,469.88

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Solution

The fourth proportional to 299,441.21, 413,222.18 and 163,469.88 is: 225,584.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,441.21 : 413,222.18 = 163,469.88 : x
  2. Step 2: Convert to fraction form
    299,441.21/413,222.18 = 163,469.88/x
  3. Step 3: Cross multiply
    299,441.21x = 413,222.18 × 163,469.88
  4. Step 4: Simplify right side
    299,441.21x = 67,549,379,360.59
  5. Step 5: Solve for x
    x = 67,549,379,360.59/299,441.21
  6. Step 6: Final answer
    x = 225,584.78

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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.