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Finding the Fourth Proportional to 509,628.25, 703,287.44 and 280,189.44

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Solution

The fourth proportional to 509,628.25, 703,287.44 and 280,189.44 is: 386,661.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,628.25 : 703,287.44 = 280,189.44 : x
  2. Step 2: Convert to fraction form
    509,628.25/703,287.44 = 280,189.44/x
  3. Step 3: Cross multiply
    509,628.25x = 703,287.44 × 280,189.44
  4. Step 4: Simplify right side
    509,628.25x = 197,053,713,972.63
  5. Step 5: Solve for x
    x = 197,053,713,972.63/509,628.25
  6. Step 6: Final answer
    x = 386,661.68

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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.