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Finding the Fourth Proportional to 643,358.40, 965,271.60 and 222,676.80

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Solution

The fourth proportional to 643,358.40, 965,271.60 and 222,676.80 is: 334,096.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,358.40 : 965,271.60 = 222,676.80 : x
  2. Step 2: Convert to fraction form
    643,358.40/965,271.60 = 222,676.80/x
  3. Step 3: Cross multiply
    643,358.40x = 965,271.60 × 222,676.80
  4. Step 4: Simplify right side
    643,358.40x = 214,943,591,018.88
  5. Step 5: Solve for x
    x = 214,943,591,018.88/643,358.40
  6. Step 6: Final answer
    x = 334,096.19

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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.