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Finding the Fourth Proportional to 269,813.78, 404,722.30 and 120,018.86

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Solution

The fourth proportional to 269,813.78, 404,722.30 and 120,018.86 is: 180,029.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,813.78 : 404,722.30 = 120,018.86 : x
  2. Step 2: Convert to fraction form
    269,813.78/404,722.30 = 120,018.86/x
  3. Step 3: Cross multiply
    269,813.78x = 404,722.30 × 120,018.86
  4. Step 4: Simplify right side
    269,813.78x = 48,574,309,062.58
  5. Step 5: Solve for x
    x = 48,574,309,062.58/269,813.78
  6. Step 6: Final answer
    x = 180,029.02

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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.