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Finding the Fourth Proportional to 430,934, 646,401 and 135,446

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Solution

The fourth proportional to 430,934, 646,401 and 135,446 is: 203,169

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,934 : 646,401 = 135,446 : x
  2. Step 2: Convert to fraction form
    430,934/646,401 = 135,446/x
  3. Step 3: Cross multiply
    430,934x = 646,401 × 135,446
  4. Step 4: Simplify right side
    430,934x = 87,552,429,846
  5. Step 5: Solve for x
    x = 87,552,429,846/430,934
  6. Step 6: Final answer
    x = 203,169

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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.