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Finding the Fourth Proportional to 708,682.82, 978,380.26 and 491,207.54

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Solution

The fourth proportional to 708,682.82, 978,380.26 and 491,207.54 is: 678,142.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,682.82 : 978,380.26 = 491,207.54 : x
  2. Step 2: Convert to fraction form
    708,682.82/978,380.26 = 491,207.54/x
  3. Step 3: Cross multiply
    708,682.82x = 978,380.26 × 491,207.54
  4. Step 4: Simplify right side
    708,682.82x = 480,587,753,351.22
  5. Step 5: Solve for x
    x = 480,587,753,351.22/708,682.82
  6. Step 6: Final answer
    x = 678,142.24

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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.