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Finding the Fourth Proportional to 509,219.52, 702,723.12 and 279,791.46

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Solution

The fourth proportional to 509,219.52, 702,723.12 and 279,791.46 is: 386,112.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,219.52 : 702,723.12 = 279,791.46 : x
  2. Step 2: Convert to fraction form
    509,219.52/702,723.12 = 279,791.46/x
  3. Step 3: Cross multiply
    509,219.52x = 702,723.12 × 279,791.46
  4. Step 4: Simplify right side
    509,219.52x = 196,615,927,720.56
  5. Step 5: Solve for x
    x = 196,615,927,720.56/509,219.52
  6. Step 6: Final answer
    x = 386,112.32

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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.