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Finding the Fourth Proportional to 258,761.40, 387,777.60 and 205,544.40

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Solution

The fourth proportional to 258,761.40, 387,777.60 and 205,544.40 is: 308,027.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,761.40 : 387,777.60 = 205,544.40 : x
  2. Step 2: Convert to fraction form
    258,761.40/387,777.60 = 205,544.40/x
  3. Step 3: Cross multiply
    258,761.40x = 387,777.60 × 205,544.40
  4. Step 4: Simplify right side
    258,761.40x = 79,705,514,125.44
  5. Step 5: Solve for x
    x = 79,705,514,125.44/258,761.40
  6. Step 6: Final answer
    x = 308,027.06

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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.