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Finding the Fourth Proportional to 391,862.78, 587,960.61 and 214,162.21

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Solution

The fourth proportional to 391,862.78, 587,960.61 and 214,162.21 is: 321,334.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,862.78 : 587,960.61 = 214,162.21 : x
  2. Step 2: Convert to fraction form
    391,862.78/587,960.61 = 214,162.21/x
  3. Step 3: Cross multiply
    391,862.78x = 587,960.61 × 214,162.21
  4. Step 4: Simplify right side
    391,862.78x = 125,918,943,562.39
  5. Step 5: Solve for x
    x = 125,918,943,562.39/391,862.78
  6. Step 6: Final answer
    x = 321,334.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.