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Finding the Fourth Proportional to 397,021.68, 595,197.63 and 172,212.87

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Solution

The fourth proportional to 397,021.68, 595,197.63 and 172,212.87 is: 258,174.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,021.68 : 595,197.63 = 172,212.87 : x
  2. Step 2: Convert to fraction form
    397,021.68/595,197.63 = 172,212.87/x
  3. Step 3: Cross multiply
    397,021.68x = 595,197.63 × 172,212.87
  4. Step 4: Simplify right side
    397,021.68x = 102,500,692,079.50
  5. Step 5: Solve for x
    x = 102,500,692,079.50/397,021.68
  6. Step 6: Final answer
    x = 258,174.04

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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.