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Finding the Fourth Proportional to 512,082, 706,912.28 and 297,180.53

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Solution

The fourth proportional to 512,082, 706,912.28 and 297,180.53 is: 410,247.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,082 : 706,912.28 = 297,180.53 : x
  2. Step 2: Convert to fraction form
    512,082/706,912.28 = 297,180.53/x
  3. Step 3: Cross multiply
    512,082x = 706,912.28 × 297,180.53
  4. Step 4: Simplify right side
    512,082x = 210,080,566,033.91
  5. Step 5: Solve for x
    x = 210,080,566,033.91/512,082
  6. Step 6: Final answer
    x = 410,247.90

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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.