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Finding the Fourth Proportional to 323,732.70, 484,821.45 and 309,735.90

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Solution

The fourth proportional to 323,732.70, 484,821.45 and 309,735.90 is: 463,859.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,732.70 : 484,821.45 = 309,735.90 : x
  2. Step 2: Convert to fraction form
    323,732.70/484,821.45 = 309,735.90/x
  3. Step 3: Cross multiply
    323,732.70x = 484,821.45 × 309,735.90
  4. Step 4: Simplify right side
    323,732.70x = 150,166,608,155.06
  5. Step 5: Solve for x
    x = 150,166,608,155.06/323,732.70
  6. Step 6: Final answer
    x = 463,859.87

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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.