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Finding the Fourth Proportional to 439,294.11, 658,758.64 and 214,589.31

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Solution

The fourth proportional to 439,294.11, 658,758.64 and 214,589.31 is: 321,794.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,294.11 : 658,758.64 = 214,589.31 : x
  2. Step 2: Convert to fraction form
    439,294.11/658,758.64 = 214,589.31/x
  3. Step 3: Cross multiply
    439,294.11x = 658,758.64 × 214,589.31
  4. Step 4: Simplify right side
    439,294.11x = 141,362,562,014.14
  5. Step 5: Solve for x
    x = 141,362,562,014.14/439,294.11
  6. Step 6: Final answer
    x = 321,794.80

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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.