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Finding the Fourth Proportional to 305,223.44, 421,157.02 and 203,400.91

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Solution

The fourth proportional to 305,223.44, 421,157.02 and 203,400.91 is: 280,659.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,223.44 : 421,157.02 = 203,400.91 : x
  2. Step 2: Convert to fraction form
    305,223.44/421,157.02 = 203,400.91/x
  3. Step 3: Cross multiply
    305,223.44x = 421,157.02 × 203,400.91
  4. Step 4: Simplify right side
    305,223.44x = 85,663,720,103.88
  5. Step 5: Solve for x
    x = 85,663,720,103.88/305,223.44
  6. Step 6: Final answer
    x = 280,659.05

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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.