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Finding the Fourth Proportional to 270,517.52, 405,813.14 and 112,709

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Solution

The fourth proportional to 270,517.52, 405,813.14 and 112,709 is: 169,078.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,517.52 : 405,813.14 = 112,709 : x
  2. Step 2: Convert to fraction form
    270,517.52/405,813.14 = 112,709/x
  3. Step 3: Cross multiply
    270,517.52x = 405,813.14 × 112,709
  4. Step 4: Simplify right side
    270,517.52x = 45,738,793,196.26
  5. Step 5: Solve for x
    x = 45,738,793,196.26/270,517.52
  6. Step 6: Final answer
    x = 169,078.86

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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.