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Finding the Fourth Proportional to 391,419.24, 587,179.88 and 110,943.76

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Solution

The fourth proportional to 391,419.24, 587,179.88 and 110,943.76 is: 166,430.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,419.24 : 587,179.88 = 110,943.76 : x
  2. Step 2: Convert to fraction form
    391,419.24/587,179.88 = 110,943.76/x
  3. Step 3: Cross multiply
    391,419.24x = 587,179.88 × 110,943.76
  4. Step 4: Simplify right side
    391,419.24x = 65,143,943,683.55
  5. Step 5: Solve for x
    x = 65,143,943,683.55/391,419.24
  6. Step 6: Final answer
    x = 166,430.10

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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.