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Finding the Fourth Proportional to 512,211.30, 706,521.69 and 311,007.30

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Solution

The fourth proportional to 512,211.30, 706,521.69 and 311,007.30 is: 428,989.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,211.30 : 706,521.69 = 311,007.30 : x
  2. Step 2: Convert to fraction form
    512,211.30/706,521.69 = 311,007.30/x
  3. Step 3: Cross multiply
    512,211.30x = 706,521.69 × 311,007.30
  4. Step 4: Simplify right side
    512,211.30x = 219,733,403,198.34
  5. Step 5: Solve for x
    x = 219,733,403,198.34/512,211.30
  6. Step 6: Final answer
    x = 428,989.76

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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.