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Finding the Fourth Proportional to 550,306.86, 825,321.78 and 213,231.84

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Solution

The fourth proportional to 550,306.86, 825,321.78 and 213,231.84 is: 319,794.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,306.86 : 825,321.78 = 213,231.84 : x
  2. Step 2: Convert to fraction form
    550,306.86/825,321.78 = 213,231.84/x
  3. Step 3: Cross multiply
    550,306.86x = 825,321.78 × 213,231.84
  4. Step 4: Simplify right side
    550,306.86x = 175,984,881,741.48
  5. Step 5: Solve for x
    x = 175,984,881,741.48/550,306.86
  6. Step 6: Final answer
    x = 319,794.09

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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.