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Finding the Fourth Proportional to 391,878.88, 587,984.72 and 214,178.24

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Solution

The fourth proportional to 391,878.88, 587,984.72 and 214,178.24 is: 321,358.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,878.88 : 587,984.72 = 214,178.24 : x
  2. Step 2: Convert to fraction form
    391,878.88/587,984.72 = 214,178.24/x
  3. Step 3: Cross multiply
    391,878.88x = 587,984.72 × 214,178.24
  4. Step 4: Simplify right side
    391,878.88x = 125,933,532,476.49
  5. Step 5: Solve for x
    x = 125,933,532,476.49/391,878.88
  6. Step 6: Final answer
    x = 321,358.30

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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.