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Finding the Fourth Proportional to 283,415.20, 425,583.60 and 205,079.20

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Solution

The fourth proportional to 283,415.20, 425,583.60 and 205,079.20 is: 307,952.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,415.20 : 425,583.60 = 205,079.20 : x
  2. Step 2: Convert to fraction form
    283,415.20/425,583.60 = 205,079.20/x
  3. Step 3: Cross multiply
    283,415.20x = 425,583.60 × 205,079.20
  4. Step 4: Simplify right side
    283,415.20x = 87,278,344,221.12
  5. Step 5: Solve for x
    x = 87,278,344,221.12/283,415.20
  6. Step 6: Final answer
    x = 307,952.23

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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.