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Finding the Fourth Proportional to 708,934.56, 978,295.20 and 422,448.24

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Solution

The fourth proportional to 708,934.56, 978,295.20 and 422,448.24 is: 582,958.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,934.56 : 978,295.20 = 422,448.24 : x
  2. Step 2: Convert to fraction form
    708,934.56/978,295.20 = 422,448.24/x
  3. Step 3: Cross multiply
    708,934.56x = 978,295.20 × 422,448.24
  4. Step 4: Simplify right side
    708,934.56x = 413,279,085,440.45
  5. Step 5: Solve for x
    x = 413,279,085,440.45/708,934.56
  6. Step 6: Final answer
    x = 582,958.02

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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.