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Finding the Fourth Proportional to 391,468, 587,231.28 and 111,007.84

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Solution

The fourth proportional to 391,468, 587,231.28 and 111,007.84 is: 166,520.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,468 : 587,231.28 = 111,007.84 : x
  2. Step 2: Convert to fraction form
    391,468/587,231.28 = 111,007.84/x
  3. Step 3: Cross multiply
    391,468x = 587,231.28 × 111,007.84
  4. Step 4: Simplify right side
    391,468x = 65,187,275,973.24
  5. Step 5: Solve for x
    x = 65,187,275,973.24/391,468
  6. Step 6: Final answer
    x = 166,520.06

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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.