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Finding the Fourth Proportional to 550,311.36, 825,328.50 and 213,236.34

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Solution

The fourth proportional to 550,311.36, 825,328.50 and 213,236.34 is: 319,800.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,311.36 : 825,328.50 = 213,236.34 : x
  2. Step 2: Convert to fraction form
    550,311.36/825,328.50 = 213,236.34/x
  3. Step 3: Cross multiply
    550,311.36x = 825,328.50 × 213,236.34
  4. Step 4: Simplify right side
    550,311.36x = 175,990,028,637.69
  5. Step 5: Solve for x
    x = 175,990,028,637.69/550,311.36
  6. Step 6: Final answer
    x = 319,800.83

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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.