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Finding the Fourth Proportional to 512,346.79, 768,786.15 and 208,963.52

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Solution

The fourth proportional to 512,346.79, 768,786.15 and 208,963.52 is: 313,553.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,346.79 : 768,786.15 = 208,963.52 : x
  2. Step 2: Convert to fraction form
    512,346.79/768,786.15 = 208,963.52/x
  3. Step 3: Cross multiply
    512,346.79x = 768,786.15 × 208,963.52
  4. Step 4: Simplify right side
    512,346.79x = 160,648,260,031.25
  5. Step 5: Solve for x
    x = 160,648,260,031.25/512,346.79
  6. Step 6: Final answer
    x = 313,553.76

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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.