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Finding the Fourth Proportional to 512,138.40, 768,207.60 and 246,417.90

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Solution

The fourth proportional to 512,138.40, 768,207.60 and 246,417.90 is: 369,626.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,138.40 : 768,207.60 = 246,417.90 : x
  2. Step 2: Convert to fraction form
    512,138.40/768,207.60 = 246,417.90/x
  3. Step 3: Cross multiply
    512,138.40x = 768,207.60 × 246,417.90
  4. Step 4: Simplify right side
    512,138.40x = 189,300,103,556.04
  5. Step 5: Solve for x
    x = 189,300,103,556.04/512,138.40
  6. Step 6: Final answer
    x = 369,626.85

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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.