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Finding the Fourth Proportional to 282,009.69, 422,992.11 and 113,411.16

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Solution

The fourth proportional to 282,009.69, 422,992.11 and 113,411.16 is: 170,107.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,009.69 : 422,992.11 = 113,411.16 : x
  2. Step 2: Convert to fraction form
    282,009.69/422,992.11 = 113,411.16/x
  3. Step 3: Cross multiply
    282,009.69x = 422,992.11 × 113,411.16
  4. Step 4: Simplify right side
    282,009.69x = 47,972,025,865.95
  5. Step 5: Solve for x
    x = 47,972,025,865.95/282,009.69
  6. Step 6: Final answer
    x = 170,107.72

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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.