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Finding the Fourth Proportional to 512,176.20, 768,264.30 and 352,743.90

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Solution

The fourth proportional to 512,176.20, 768,264.30 and 352,743.90 is: 529,115.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,176.20 : 768,264.30 = 352,743.90 : x
  2. Step 2: Convert to fraction form
    512,176.20/768,264.30 = 352,743.90/x
  3. Step 3: Cross multiply
    512,176.20x = 768,264.30 × 352,743.90
  4. Step 4: Simplify right side
    512,176.20x = 271,000,545,412.77
  5. Step 5: Solve for x
    x = 271,000,545,412.77/512,176.20
  6. Step 6: Final answer
    x = 529,115.85

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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.