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Finding the Fourth Proportional to 283,412.20, 425,579.10 and 205,076.20

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Solution

The fourth proportional to 283,412.20, 425,579.10 and 205,076.20 is: 307,947.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,412.20 : 425,579.10 = 205,076.20 : x
  2. Step 2: Convert to fraction form
    283,412.20/425,579.10 = 205,076.20/x
  3. Step 3: Cross multiply
    283,412.20x = 425,579.10 × 205,076.20
  4. Step 4: Simplify right side
    283,412.20x = 87,276,144,627.42
  5. Step 5: Solve for x
    x = 87,276,144,627.42/283,412.20
  6. Step 6: Final answer
    x = 307,947.73

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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.