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Finding the Fourth Proportional to 228,815.70, 343,219.87 and 71,044.31

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Solution

The fourth proportional to 228,815.70, 343,219.87 and 71,044.31 is: 106,565.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,815.70 : 343,219.87 = 71,044.31 : x
  2. Step 2: Convert to fraction form
    228,815.70/343,219.87 = 71,044.31/x
  3. Step 3: Cross multiply
    228,815.70x = 343,219.87 × 71,044.31
  4. Step 4: Simplify right side
    228,815.70x = 24,383,817,215.15
  5. Step 5: Solve for x
    x = 24,383,817,215.15/228,815.70
  6. Step 6: Final answer
    x = 106,565.32

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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.