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Finding the Fourth Proportional to 279,879.30, 419,714.46 and 90,292.05

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Solution

The fourth proportional to 279,879.30, 419,714.46 and 90,292.05 is: 135,404.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,879.30 : 419,714.46 = 90,292.05 : x
  2. Step 2: Convert to fraction form
    279,879.30/419,714.46 = 90,292.05/x
  3. Step 3: Cross multiply
    279,879.30x = 419,714.46 × 90,292.05
  4. Step 4: Simplify right side
    279,879.30x = 37,896,879,008.04
  5. Step 5: Solve for x
    x = 37,896,879,008.04/279,879.30
  6. Step 6: Final answer
    x = 135,404.37

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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.