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Finding the Fourth Proportional to 509,930.30, 703,721.09 and 280,504.65

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Solution

The fourth proportional to 509,930.30, 703,721.09 and 280,504.65 is: 387,105.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,930.30 : 703,721.09 = 280,504.65 : x
  2. Step 2: Convert to fraction form
    509,930.30/703,721.09 = 280,504.65/x
  3. Step 3: Cross multiply
    509,930.30x = 703,721.09 × 280,504.65
  4. Step 4: Simplify right side
    509,930.30x = 197,397,036,645.55
  5. Step 5: Solve for x
    x = 197,397,036,645.55/509,930.30
  6. Step 6: Final answer
    x = 387,105.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.