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Finding the Fourth Proportional to 547,321.60, 820,900.32 and 173,296

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Solution

The fourth proportional to 547,321.60, 820,900.32 and 173,296 is: 259,918.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,321.60 : 820,900.32 = 173,296 : x
  2. Step 2: Convert to fraction form
    547,321.60/820,900.32 = 173,296/x
  3. Step 3: Cross multiply
    547,321.60x = 820,900.32 × 173,296
  4. Step 4: Simplify right side
    547,321.60x = 142,258,741,854.72
  5. Step 5: Solve for x
    x = 142,258,741,854.72/547,321.60
  6. Step 6: Final answer
    x = 259,918.01

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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.