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Finding the Fourth Proportional to 309,291.20, 427,027.44 and 237,543

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Solution

The fourth proportional to 309,291.20, 427,027.44 and 237,543 is: 327,967.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,291.20 : 427,027.44 = 237,543 : x
  2. Step 2: Convert to fraction form
    309,291.20/427,027.44 = 237,543/x
  3. Step 3: Cross multiply
    309,291.20x = 427,027.44 × 237,543
  4. Step 4: Simplify right side
    309,291.20x = 101,437,379,179.92
  5. Step 5: Solve for x
    x = 101,437,379,179.92/309,291.20
  6. Step 6: Final answer
    x = 327,967.23

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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.