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Finding the Fourth Proportional to 509,200.62, 702,707.97 and 279,760.86

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Solution

The fourth proportional to 509,200.62, 702,707.97 and 279,760.86 is: 386,076.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,200.62 : 702,707.97 = 279,760.86 : x
  2. Step 2: Convert to fraction form
    509,200.62/702,707.97 = 279,760.86/x
  3. Step 3: Cross multiply
    509,200.62x = 702,707.97 × 279,760.86
  4. Step 4: Simplify right side
    509,200.62x = 196,590,186,016.05
  5. Step 5: Solve for x
    x = 196,590,186,016.05/509,200.62
  6. Step 6: Final answer
    x = 386,076.09

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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.