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Finding the Fourth Proportional to 309,650.91, 427,296.31 and 171,837.24

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Solution

The fourth proportional to 309,650.91, 427,296.31 and 171,837.24 is: 237,123.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,650.91 : 427,296.31 = 171,837.24 : x
  2. Step 2: Convert to fraction form
    309,650.91/427,296.31 = 171,837.24/x
  3. Step 3: Cross multiply
    309,650.91x = 427,296.31 × 171,837.24
  4. Step 4: Simplify right side
    309,650.91x = 73,425,418,572.58
  5. Step 5: Solve for x
    x = 73,425,418,572.58/309,650.91
  6. Step 6: Final answer
    x = 237,123.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.