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Finding the Fourth Proportional to 214,658.70, 321,988.05 and 193,991.55

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Solution

The fourth proportional to 214,658.70, 321,988.05 and 193,991.55 is: 290,987.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,658.70 : 321,988.05 = 193,991.55 : x
  2. Step 2: Convert to fraction form
    214,658.70/321,988.05 = 193,991.55/x
  3. Step 3: Cross multiply
    214,658.70x = 321,988.05 × 193,991.55
  4. Step 4: Simplify right side
    214,658.70x = 62,462,960,900.98
  5. Step 5: Solve for x
    x = 62,462,960,900.98/214,658.70
  6. Step 6: Final answer
    x = 290,987.33

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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.