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Finding the Fourth Proportional to 397,302.21, 595,940.12 and 172,662.86

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Solution

The fourth proportional to 397,302.21, 595,940.12 and 172,662.86 is: 258,988.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,302.21 : 595,940.12 = 172,662.86 : x
  2. Step 2: Convert to fraction form
    397,302.21/595,940.12 = 172,662.86/x
  3. Step 3: Cross multiply
    397,302.21x = 595,940.12 × 172,662.86
  4. Step 4: Simplify right side
    397,302.21x = 102,896,726,134.48
  5. Step 5: Solve for x
    x = 102,896,726,134.48/397,302.21
  6. Step 6: Final answer
    x = 258,988.56

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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.