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Finding the Fourth Proportional to 709,231.20, 978,704.88 and 386,922.12

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Solution

The fourth proportional to 709,231.20, 978,704.88 and 386,922.12 is: 533,933.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,231.20 : 978,704.88 = 386,922.12 : x
  2. Step 2: Convert to fraction form
    709,231.20/978,704.88 = 386,922.12/x
  3. Step 3: Cross multiply
    709,231.20x = 978,704.88 × 386,922.12
  4. Step 4: Simplify right side
    709,231.20x = 378,682,567,023.95
  5. Step 5: Solve for x
    x = 378,682,567,023.95/709,231.20
  6. Step 6: Final answer
    x = 533,933.88

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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.