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Finding the Fourth Proportional to 283,879.80, 425,908.40 and 84,201.30

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Solution

The fourth proportional to 283,879.80, 425,908.40 and 84,201.30 is: 126,328.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,879.80 : 425,908.40 = 84,201.30 : x
  2. Step 2: Convert to fraction form
    283,879.80/425,908.40 = 84,201.30/x
  3. Step 3: Cross multiply
    283,879.80x = 425,908.40 × 84,201.30
  4. Step 4: Simplify right side
    283,879.80x = 35,862,040,539.91
  5. Step 5: Solve for x
    x = 35,862,040,539.91/283,879.80
  6. Step 6: Final answer
    x = 126,328.26

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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.