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Finding the Fourth Proportional to 709,177.80, 978,792.30 and 422,716.44

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Solution

The fourth proportional to 709,177.80, 978,792.30 and 422,716.44 is: 583,424.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,177.80 : 978,792.30 = 422,716.44 : x
  2. Step 2: Convert to fraction form
    709,177.80/978,792.30 = 422,716.44/x
  3. Step 3: Cross multiply
    709,177.80x = 978,792.30 × 422,716.44
  4. Step 4: Simplify right side
    709,177.80x = 413,751,596,555.41
  5. Step 5: Solve for x
    x = 413,751,596,555.41/709,177.80
  6. Step 6: Final answer
    x = 583,424.35

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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.