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Finding the Fourth Proportional to 439,664, 659,052.88 and 173,321.44

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Solution

The fourth proportional to 439,664, 659,052.88 and 173,321.44 is: 259,807.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,664 : 659,052.88 = 173,321.44 : x
  2. Step 2: Convert to fraction form
    439,664/659,052.88 = 173,321.44/x
  3. Step 3: Cross multiply
    439,664x = 659,052.88 × 173,321.44
  4. Step 4: Simplify right side
    439,664x = 114,227,994,197.75
  5. Step 5: Solve for x
    x = 114,227,994,197.75/439,664
  6. Step 6: Final answer
    x = 259,807.48

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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.