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Finding the Fourth Proportional to 512,017.28, 768,691.20 and 393,772.40

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Solution

The fourth proportional to 512,017.28, 768,691.20 and 393,772.40 is: 591,170.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,017.28 : 768,691.20 = 393,772.40 : x
  2. Step 2: Convert to fraction form
    512,017.28/768,691.20 = 393,772.40/x
  3. Step 3: Cross multiply
    512,017.28x = 768,691.20 × 393,772.40
  4. Step 4: Simplify right side
    512,017.28x = 302,689,378,682.88
  5. Step 5: Solve for x
    x = 302,689,378,682.88/512,017.28
  6. Step 6: Final answer
    x = 591,170.24

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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.