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Finding the Fourth Proportional to 391,429.36, 587,144.08 and 110,946.64

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Solution

The fourth proportional to 391,429.36, 587,144.08 and 110,946.64 is: 166,419.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,429.36 : 587,144.08 = 110,946.64 : x
  2. Step 2: Convert to fraction form
    391,429.36/587,144.08 = 110,946.64/x
  3. Step 3: Cross multiply
    391,429.36x = 587,144.08 × 110,946.64
  4. Step 4: Simplify right side
    391,429.36x = 65,141,662,871.89
  5. Step 5: Solve for x
    x = 65,141,662,871.89/391,429.36
  6. Step 6: Final answer
    x = 166,419.97

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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.