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Finding the Fourth Proportional to 509,930.29, 703,721.08 and 280,504.64

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Solution

The fourth proportional to 509,930.29, 703,721.08 and 280,504.64 is: 387,105.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,930.29 : 703,721.08 = 280,504.64 : x
  2. Step 2: Convert to fraction form
    509,930.29/703,721.08 = 280,504.64/x
  3. Step 3: Cross multiply
    509,930.29x = 703,721.08 × 280,504.64
  4. Step 4: Simplify right side
    509,930.29x = 197,397,030,315.75
  5. Step 5: Solve for x
    x = 197,397,030,315.75/509,930.29
  6. Step 6: Final answer
    x = 387,105.91

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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.