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Finding the Fourth Proportional to 709,198.44, 978,659.73 and 386,889.32

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Solution

The fourth proportional to 709,198.44, 978,659.73 and 386,889.32 is: 533,888.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,198.44 : 978,659.73 = 386,889.32 : x
  2. Step 2: Convert to fraction form
    709,198.44/978,659.73 = 386,889.32/x
  3. Step 3: Cross multiply
    709,198.44x = 978,659.73 × 386,889.32
  4. Step 4: Simplify right side
    709,198.44x = 378,632,992,557.79
  5. Step 5: Solve for x
    x = 378,632,992,557.79/709,198.44
  6. Step 6: Final answer
    x = 533,888.64

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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.