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Finding the Fourth Proportional to 397,146.48, 595,885.80 and 172,695.69

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Solution

The fourth proportional to 397,146.48, 595,885.80 and 172,695.69 is: 259,115.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,146.48 : 595,885.80 = 172,695.69 : x
  2. Step 2: Convert to fraction form
    397,146.48/595,885.80 = 172,695.69/x
  3. Step 3: Cross multiply
    397,146.48x = 595,885.80 × 172,695.69
  4. Step 4: Simplify right side
    397,146.48x = 102,906,909,392.20
  5. Step 5: Solve for x
    x = 102,906,909,392.20/397,146.48
  6. Step 6: Final answer
    x = 259,115.75

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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.