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Finding the Fourth Proportional to 387,779.64, 582,214.41 and 198,375.86

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Solution

The fourth proportional to 387,779.64, 582,214.41 and 198,375.86 is: 297,842.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,779.64 : 582,214.41 = 198,375.86 : x
  2. Step 2: Convert to fraction form
    387,779.64/582,214.41 = 198,375.86/x
  3. Step 3: Cross multiply
    387,779.64x = 582,214.41 × 198,375.86
  4. Step 4: Simplify right side
    387,779.64x = 115,497,285,743.68
  5. Step 5: Solve for x
    x = 115,497,285,743.68/387,779.64
  6. Step 6: Final answer
    x = 297,842.58

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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.