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Finding the Fourth Proportional to 512,096.70, 768,145.05 and 323,139.90

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Solution

The fourth proportional to 512,096.70, 768,145.05 and 323,139.90 is: 484,709.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,096.70 : 768,145.05 = 323,139.90 : x
  2. Step 2: Convert to fraction form
    512,096.70/768,145.05 = 323,139.90/x
  3. Step 3: Cross multiply
    512,096.70x = 768,145.05 × 323,139.90
  4. Step 4: Simplify right side
    512,096.70x = 248,218,314,642.50
  5. Step 5: Solve for x
    x = 248,218,314,642.50/512,096.70
  6. Step 6: Final answer
    x = 484,709.85

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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.