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Finding the Fourth Proportional to 283,422.20, 425,594.10 and 205,086.20

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Solution

The fourth proportional to 283,422.20, 425,594.10 and 205,086.20 is: 307,962.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,422.20 : 425,594.10 = 205,086.20 : x
  2. Step 2: Convert to fraction form
    283,422.20/425,594.10 = 205,086.20/x
  3. Step 3: Cross multiply
    283,422.20x = 425,594.10 × 205,086.20
  4. Step 4: Simplify right side
    283,422.20x = 87,283,476,711.42
  5. Step 5: Solve for x
    x = 87,283,476,711.42/283,422.20
  6. Step 6: Final answer
    x = 307,962.74

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1.5x scale

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.