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Finding the Fourth Proportional to 339,966.20, 509,949.30 and 162,819.20

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Solution

The fourth proportional to 339,966.20, 509,949.30 and 162,819.20 is: 244,228.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,966.20 : 509,949.30 = 162,819.20 : x
  2. Step 2: Convert to fraction form
    339,966.20/509,949.30 = 162,819.20/x
  3. Step 3: Cross multiply
    339,966.20x = 509,949.30 × 162,819.20
  4. Step 4: Simplify right side
    339,966.20x = 83,029,537,066.56
  5. Step 5: Solve for x
    x = 83,029,537,066.56/339,966.20
  6. Step 6: Final answer
    x = 244,228.80

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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.