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Finding the Fourth Proportional to 438,658.28, 658,230.72 and 214,020.56

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Solution

The fourth proportional to 438,658.28, 658,230.72 and 214,020.56 is: 321,149.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,658.28 : 658,230.72 = 214,020.56 : x
  2. Step 2: Convert to fraction form
    438,658.28/658,230.72 = 214,020.56/x
  3. Step 3: Cross multiply
    438,658.28x = 658,230.72 × 214,020.56
  4. Step 4: Simplify right side
    438,658.28x = 140,874,907,303.60
  5. Step 5: Solve for x
    x = 140,874,907,303.60/438,658.28
  6. Step 6: Final answer
    x = 321,149.55

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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.