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Finding the Fourth Proportional to 269,808.78, 404,714.80 and 120,013.86

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Solution

The fourth proportional to 269,808.78, 404,714.80 and 120,013.86 is: 180,021.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,808.78 : 404,714.80 = 120,013.86 : x
  2. Step 2: Convert to fraction form
    269,808.78/404,714.80 = 120,013.86/x
  3. Step 3: Cross multiply
    269,808.78x = 404,714.80 × 120,013.86
  4. Step 4: Simplify right side
    269,808.78x = 48,571,385,347.13
  5. Step 5: Solve for x
    x = 48,571,385,347.13/269,808.78
  6. Step 6: Final answer
    x = 180,021.52

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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.