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Finding the Fourth Proportional to 509,694.27, 703,363.14 and 280,251.33

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Solution

The fourth proportional to 509,694.27, 703,363.14 and 280,251.33 is: 386,738.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,694.27 : 703,363.14 = 280,251.33 : x
  2. Step 2: Convert to fraction form
    509,694.27/703,363.14 = 280,251.33/x
  3. Step 3: Cross multiply
    509,694.27x = 703,363.14 × 280,251.33
  4. Step 4: Simplify right side
    509,694.27x = 197,118,455,457.98
  5. Step 5: Solve for x
    x = 197,118,455,457.98/509,694.27
  6. Step 6: Final answer
    x = 386,738.61

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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.