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Finding the Fourth Proportional to 399,676.50, 599,941.55 and 172,084.75

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Solution

The fourth proportional to 399,676.50, 599,941.55 and 172,084.75 is: 258,310.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,676.50 : 599,941.55 = 172,084.75 : x
  2. Step 2: Convert to fraction form
    399,676.50/599,941.55 = 172,084.75/x
  3. Step 3: Cross multiply
    399,676.50x = 599,941.55 × 172,084.75
  4. Step 4: Simplify right side
    399,676.50x = 103,240,790,576.72
  5. Step 5: Solve for x
    x = 103,240,790,576.72/399,676.50
  6. Step 6: Final answer
    x = 258,310.89

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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.