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Finding the Fourth Proportional to 439,605.60, 659,408.40 and 408,112.80

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Solution

The fourth proportional to 439,605.60, 659,408.40 and 408,112.80 is: 612,169.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,605.60 : 659,408.40 = 408,112.80 : x
  2. Step 2: Convert to fraction form
    439,605.60/659,408.40 = 408,112.80/x
  3. Step 3: Cross multiply
    439,605.60x = 659,408.40 × 408,112.80
  4. Step 4: Simplify right side
    439,605.60x = 269,113,008,467.52
  5. Step 5: Solve for x
    x = 269,113,008,467.52/439,605.60
  6. Step 6: Final answer
    x = 612,169.20

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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.