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Finding the Fourth Proportional to 509,286.69, 763,939.15 and 154,300.75

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Solution

The fourth proportional to 509,286.69, 763,939.15 and 154,300.75 is: 231,453.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,286.69 : 763,939.15 = 154,300.75 : x
  2. Step 2: Convert to fraction form
    509,286.69/763,939.15 = 154,300.75/x
  3. Step 3: Cross multiply
    509,286.69x = 763,939.15 × 154,300.75
  4. Step 4: Simplify right side
    509,286.69x = 117,876,381,503.76
  5. Step 5: Solve for x
    x = 117,876,381,503.76/509,286.69
  6. Step 6: Final answer
    x = 231,453.88

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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.