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Finding the Fourth Proportional to 269,783.86, 404,640.26 and 82,779.70

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Solution

The fourth proportional to 269,783.86, 404,640.26 and 82,779.70 is: 124,158.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,783.86 : 404,640.26 = 82,779.70 : x
  2. Step 2: Convert to fraction form
    269,783.86/404,640.26 = 82,779.70/x
  3. Step 3: Cross multiply
    269,783.86x = 404,640.26 × 82,779.70
  4. Step 4: Simplify right side
    269,783.86x = 33,495,999,330.72
  5. Step 5: Solve for x
    x = 33,495,999,330.72/269,783.86
  6. Step 6: Final answer
    x = 124,158.65

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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.