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Finding the Fourth Proportional to 257,138.20, 385,051.20 and 204,650.20

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Solution

The fourth proportional to 257,138.20, 385,051.20 and 204,650.20 is: 306,453.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,138.20 : 385,051.20 = 204,650.20 : x
  2. Step 2: Convert to fraction form
    257,138.20/385,051.20 = 204,650.20/x
  3. Step 3: Cross multiply
    257,138.20x = 385,051.20 × 204,650.20
  4. Step 4: Simplify right side
    257,138.20x = 78,800,805,090.24
  5. Step 5: Solve for x
    x = 78,800,805,090.24/257,138.20
  6. Step 6: Final answer
    x = 306,453.13

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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.