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Finding the Fourth Proportional to 512,235.33, 706,977.30 and 305,516.98

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Solution

The fourth proportional to 512,235.33, 706,977.30 and 305,516.98 is: 421,668.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,235.33 : 706,977.30 = 305,516.98 : x
  2. Step 2: Convert to fraction form
    512,235.33/706,977.30 = 305,516.98/x
  3. Step 3: Cross multiply
    512,235.33x = 706,977.30 × 305,516.98
  4. Step 4: Simplify right side
    512,235.33x = 215,993,569,624.55
  5. Step 5: Solve for x
    x = 215,993,569,624.55/512,235.33
  6. Step 6: Final answer
    x = 421,668.63

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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.