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Finding the Fourth Proportional to 402,451.16, 603,704.69 and 136,121.64

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Solution

The fourth proportional to 402,451.16, 603,704.69 and 136,121.64 is: 204,191.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,451.16 : 603,704.69 = 136,121.64 : x
  2. Step 2: Convert to fraction form
    402,451.16/603,704.69 = 136,121.64/x
  3. Step 3: Cross multiply
    402,451.16x = 603,704.69 × 136,121.64
  4. Step 4: Simplify right side
    402,451.16x = 82,177,271,797.88
  5. Step 5: Solve for x
    x = 82,177,271,797.88/402,451.16
  6. Step 6: Final answer
    x = 204,191.91

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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.