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Finding the Fourth Proportional to 509,864.20, 764,310.30 and 189,930.40

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Solution

The fourth proportional to 509,864.20, 764,310.30 and 189,930.40 is: 284,714.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,864.20 : 764,310.30 = 189,930.40 : x
  2. Step 2: Convert to fraction form
    509,864.20/764,310.30 = 189,930.40/x
  3. Step 3: Cross multiply
    509,864.20x = 764,310.30 × 189,930.40
  4. Step 4: Simplify right side
    509,864.20x = 145,165,761,003.12
  5. Step 5: Solve for x
    x = 145,165,761,003.12/509,864.20
  6. Step 6: Final answer
    x = 284,714.56

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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.